Questions

If x 49 5 x 12 and g x 2x 19 find the composition fog 4 63 O O O O O 68 74 59 67

Evaluate lim h 0 3 1m 1 1 2 3 3 2 3 h 3 h

The image shows a triangle A C Construct the perpendicular bisector of segment AB 2 Imagine a point D placed anywhere on the perpendicular bisector you constructed How would the distance from D to A compare to the distance from D to B Explain your reasoning B Activating Strategy

Find an equation for the line tangent to the curve y 12 x 2x at x 9 Oy 7x 11 Oy 4x 18 Oy 7x 9 y 4x 11 Oy 9x 27

1 point Which of the following sets of vectors are linearly independent A 4 1 7 1 6 9 OB 3 6 0 4 5 2 1 8 9 C 2 9 8 5 2 3 3 7 5 OD 3 3 1 7 1 5 2 5 E 2 9 8 5 2 3 3 5 7 2 11 3 OF 9 7 9 7 OG 6 4 OH 0 0

What is the domain of the function f x O 4 00 O 3 4 U 4 00 3 00 O 4 U 4 4 U 4 00 4 4 x 3 x 16

Use the graph off to complete parts a through I If a limit does not exist explain why 7 16 16 fo di 5 10 Q G d Find lim f x Select the correct choice below and fill in X 2 the answer box if necessary OA lim f x x 2 Type an integer or a fraction B The limit does not exist because lim f x lim f x X 2 X 2 e Find 4 Select the correct choice below and fill in the answer box if necessary A f 4 2 Type an integer or a fraction B The value of f 4 is undefined f Find lim x 4 in the answer box if necessary f x Select the correct choice below and fill OA lim f x X 4 Type an integer or a fraction B The limit does not exist because f x is not defined for all x 4

The demand and supply functions for Penn State ice hockey jerseys are p d x x 3x 39 P S x 2x 3 where x is the number of thousands of jerseys and p is the price in dollars Find the equilibrium price 11 16 14 7 9

Evaluate lim X 60 26 0000 81 0 8 0 60 60x9 62x8 16x 94 26x9

Use the graph off to complete parts a through I If a limit does not exist explain why 7 6 5 2 4 Q G lim 1 x 4 A lim Type an integer or a fraction OB The limit does not exist because f x is not defined for all x 3 k Find lim f x Select the correct choice below and fill in the answer box if necessary A lim X 3 Type an integer or a fraction OB The limit does not exist because f x is not defined for all x 3 1 Find lim f x Select the correct choice below and fill in the answer box if necessary A lim X 3 Type an integer or a fraction OB The limit does not exist because lim f x f x X 3 lim X 3

Use the graph off to complete parts a through I If a limit does not exist explain why 2 Ay 8 A 2 SIXB A Q O G g Find lim f x Select the correct choice below and fill X 4 in the answer box if necessary O A lim f x X 4 Type an integer or a fraction OB The limit does not exist because f x is not defined for all x 4 h Find lim f x Select the correct choice below and fill in X 4 the answer box if necessary O A lim f x X 4 Type an integer or a fraction OB The limit does not exist because lim f x lim f x X 4 X 4 i Find f 3 Select the correct choice below and fill in the answer box if necessary A f 3 4 Type an integer or a fraction OB The value f 3 is undefined

10 5 5 0 5 10 S X 10 What is the equation of the horizontal asymptote

A farmer weighs a dozen chicken eggs The heaviest egg is 48 grams If e represents how much an egg weighs which inequality represents this situation Oe 48 Oe 48 Oes 48

Consider the position function s t 16t2 92t representing the position of an object moving vertically along a line Sketch a graph of s with the secant line passing through 0 25 s 0 25 and 2 s 2 Determine the slope of the secant line and explain its relationship to the moving object A 120 22 0 25 Q Q 5 B 120 22 0 25 Type an integer or a decimal The slope of the secant line is msec What is the relationship of the slope to the moving object Q Q 57 OA The slope is the average velocity of the object over the interval 0 25 2 OB The slope is the instantaneous velocity when t 2 C The slope is the average velocity of the object over the interval 22 120 OD The slope is the maximum velocity of the object O C 120 22 0 25 EN Q Q G

Question 8 Construct a circuit that is equivalent to the given expression a xy yz 3 points

If a tower has a height of 240 ft could it be in the town described in Question 1 Explain why or why not HINT Could 240 be a solution to the inequality in Question 1 Explain why or why not

Write an inequality to match the situation An architect is measuring the height of every tower in her hometown The measurements show that each tower is taller than 280 ft h Select Select 280

Each color in the pie chart represents one party s percentage of votes in a parliament Which of the following coalitions could take control O Green Purple Yellow O Purple Green Red O Blue Red Green O Blue Orange

Which inequality represents the solution set shown on the given number line 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Ox 8 0x 8 Ox 8 C 00

A prime minister is most likely to call for an early election when O A key piece of legislation is being blocked by gridlock O The economy has crashed and she is being blamed O Her party is gaining more and more national support O The coalition she led has splintered due to infighting

What element is common to the parliamentary and U S forms of government O Parties drive the political process O The people vote directly for chief executives O Presidents share roles and responsibilities with legislatures O They both have two leaders of the executive branch

Use the graph off to complete parts a through 1 If a limit does not exist explain why Ay 8 6 5 EXO Q Q G possible d Find lim f x Select the correct choice below and fill in X 2 the answer box if necessary OA lim f x X 2 Type an integer or a fraction OB The limit does not exist because lim f x lim f x X 2 X 2 e Find f 4 Select the correct choice below and fill in the answer box if necessary OA f 4 Type an integer or a fraction OB The value of f 4 is undefined f Find lim f x Select the correct choice below and fill in X 4 the answer box if necessary lim f x X 4 Type an integer or a fraction OB The limit does not exist because f x is not defined OA

An MP is most like which role in America s presidential system OA senator from California O The governor of Texas O The secretary of state O A Supreme Court justice

Each of Jimmy s kittens weighs less than 10 7 ounces at birth If k represents the weight of a kitten would the following inequality be true or false regarding this situation 10 7 k O True O False

Problem 1 Which of the following series converge i 1 n 1 en 4 ii 8 n 1 iii n 1 2 71 1 n 1 1 1 cos 1 n A 1 and iii only B ii and iii only C none of them D i only E ii only F i a G all of them H iii only

Use the graph of f to complete parts a through 1 If a limit does not exist explain why 8 7 6 5 4 Ay Q E possible for all x 3 k Find lim f x Select the correct choice below and fill in X 3 the answer box if necessary OA lim f x X 3 Type an integer or a fraction OB The limit does not exist because f x is not defined for all x 3 1 Find lim f x Select the correct choice below and fill in x 3 the answer box if necessary OA lim f x X 3 Type an integer or a fraction mit qui OB The limit does not exist because lim f x lim f x X 3 x 3

Which of the following is an opinion about the parliamentary system O It is the most common form of government O It has its own type of legislative gridlock O The executive branch is an extension of the legislative branch O It is more efficient than presidential systems

Draw the graph of the function on 0 10 with the given properties f 4 2 f x is undefined at x 2 and lim f x 3 Do this on your paper Label your axes You do not need graph paper Just draw the axes and graph as neatly feasible

In most parliamentary systems the President is a ceremonial position What is another way to say ceremonial O All powerful O Symbolic O Essential Military

Which of the following is a solution to the inequality 3 5y 21 09 06

Admission to the town festival is 5 Each activity costs 2 Rema has 21 to spend at the festival She writes the inequality 5 2a 21 to represent how many activity tickets a she can purchase at the festival Which value is a solution to this inequality 08 O 10 O 12 13

A new prime minister would most likely thank Members of the public who voted for him O MPs from the political party that selected him O His top campaign advisors and strategists O The head of the royal family who appointed him

Which of the following would be a solution to the inequality x 1 5 04 05

What about parliamentary systems make them less susceptible to legislative gridlock O Frequent elections lead to more diversity in parliament OACoalition governments integrate the views of multiple parties O The prime minister plays no part in the legislative process O The same party controls executive and legislative branches

Evaluate the limit 4x imr 0 52

Small moving containers can hold no more than 25 pounds If w represents the weight of the container which inequality shows the weight that a small moving container can hold w 25 Ow 25 w 25 Ow 25

Evaluate the limit Enter DNE if the limit does not exist enter inf for positive infinity and inf for negative infinity Express fractions as ratios and not decimals 7x 9 limx 4x 3

A vote of no confidence is put forward by against O The voting public an MP O The prime minster a rival party member O The President the vice president O Members of parliament the prime minister

Find the domain and the range of the following functions Which ones are injective surjective or bijective a f r 4x b g x 1 x 3 d k r r 7 e m x 2r 2 c h x 2 f n x ex 3 2

Evaluate the limit Enter DNE if the limit does not exist enter inf for positive infinity and inf for negative infinity Express fractions as ratios and not decimals lim 5 x 5 2 25 6 p

Work required Use the limit process to find f a f z 3 a

Work required Given that f 2 3and f 2 4 find an equation of the tangent line to the graph of y f x at c You may use the insert and then select equation to format if needed X

Which scale best represents the balance of power in a parliamentary system C COA OB C A OD Legislatur Preside Ixode Judiciary B D Legislation

Find the value of the constant c that makes the function continuous x C T 4x 2c f x x 5 x 5

the graph of f to complete parts a through 1 If a limit s not exist explain why 6 5 Q Q a Find 2 Select the correct choice below and fill in the answer box if necessary OA 2 Type an integer or a fraction OB The value of 1 2 is undefined b Find im f x Select the correct choice below and fill in X 2 the answer box if necessary OA lim f x X 2 Type an integer or a fraction OB The limit does not exist because f x is not defined for all x 2 c Find lim x Select the correct choice below and fill in X 2 the answer box if necessary OA lim x X 2 Type an integer or a fraction B The limit does not exist because f x is not defines for all x 2

Provide the expression that goes in the blank You can use the Insert then Equation to format as needed The function f x is defined by the formula f x limh 0

Name three types of discontinuity T and

If a function fis continuous at x 0 then fis differentiable at x 0 O True O False

If a limit exists the limit from the left must equal the limit from the right True O False

If a curve y f x has a horizontal tangent line at x a then f a is not defined O True O False