# Functions Questions and Answers

Math

FunctionsFor h (x)=
-3x²+2x-4/x2 +4
(a) Identify the horizontal asymptotes (if any).
(b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s).
Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable.
The graph has no horizontal asymptotes.
The graph has at least one horizontal asymptote.
Equation(s) of the horizontal asympt
Crossover point(s):

Math

FunctionsA one-to-one function is given. Write an equation for the inverse function.
f(x) = 7-x/2

Math

FunctionsEvaluate f(x) for the given values for x. Then use the ordered pairs (x,f(x)) from the table to graph the function.
f(x) = (x - 1)²

Math

FunctionsFor s (x) = 5x-5 / 2x²-7x-1
(a) Identify the horizontal asymptotes (if any).
(b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s).
Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable.

Math

FunctionsFor q (x) = -4x2+4x-1 / x²+2
(a) Identify the horizontal asymptotes (if any).
(b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s).
Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable.
The graph has no horizontal asymptotes.
The graph has at least one horizontal asymptote.
Equation(s) of the horizontal asymptote(s):
Crossover point(s):

Math

FunctionsLet f(x) =5x+2 / x - 5
1) The domain of f(x) in interval notation is
2) The y intercept is the point
3) The x intercept(s) is/are the point(s)
4) The vertical asymptote is
5) The horizontal asymptote is

Math

FunctionsIf g(x) = 1/3 x3 + 2 1/4x²-5x and h(x) = 1 2/3x3 -3/4x2-3x then g(x) + h(x) =
A) 11/3x3+3x²-2x
B) 1 1/3x3-3x²-8x
C) 2×³ +1 1/2x²-8x
D) 2x³ + 1 3/4x² - 2x

Math

FunctionsMinimize the following objective function subject to the given constraints. Find the corner points and state the minimum.
Minimize: z = 10x + 4y
subject to 2x + y ≥ 8
x + 3y ≥ 9
x≥0, y≥0
A. Corner Points: (8, 0), (0, 9), (3, 2)
Minimum: 38
B. Corner Points: (0, 3), (4, 0), (3, 2), (0, 0)
Minimum: 0
C. Corner Points: (0, 8), (9, 0), (2, 3)
Minimum: 32
D. Corner Points: (8, 0), (0, 9), (2, 3)
Minimum: 32
E. Corner Points: (0, 8), (9, 0), (3, 2)
Minimum: 32

Math

FunctionsIn 2007, about 72% of US homes had Internet access. This percentage was expected to increase at an average of 1.7% per year for the next 4 years. Which of the following equations represents the given situation?
y=72x+1.7 where x is the number of years
y=0.017x+0.72 where x is the number of years
y=17x + 72 where x is the number of years

Math

FunctionsUse reference angles to find the exact value of Sin 300 °.
Your written work should clearly show how the reference angle, the value of Sine at the reference angle as well as the sign of the Sine function in the respective quadrant are used to find the value of Sin 300 °.
The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804%.
At this rate the population P(t) (in millions) can be approximated by
P(t) = 34 (1.00804)t, where t is the time in years since 2010.
Round all population values to the nearest million.
Type final answers here and include all interpretations in your written work.
1. Is the graph of P an increasing or decreasing exponential function.
2. Evaluate P(0) and interpret its meaning in the context of this problem.
3. Evaluate P(5) and interpret its meaning in the context of this problem.
4. Evaluate P(15)
5. Evaluate P(25)

Math

FunctionsDescribe the transformations to the parent function. Check all boxes that apply.
y = (x + 2)²
Reflects across the x-axis (open down)
shifts right 2
shifts left 2
shifts up 2
shifts down 2
shifts right 3
shifts left 3
shifts up 3
shifts down 3

Math

FunctionsStarting with the graph of f(x) = 3^x, write the equation of the graph that results from
(a) shifting f(x) 6 units upward.
(b) shifting f(x) 7 units to the left.
(c) reflecting f(x) about the y-axis.

Math

FunctionsYou are choosing between two different cell phone plans. The first plan charges a rate of 22 cents per minute. The second plan charges a monthly fee of $49.95 plus 11 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Round up to the nearest whole minute.

Math

FunctionsThe function D(p) gives the number of items that will be demanded when the price is p. The production cost, C'(x) is the cost of producing x items. To determine the cost of production when the price is $10, you would:
Evaluate D(C(10))
Solve D(C(x)) = 10
Evaluate C(D(10))
Solve C(D(p)) = 10