Functions Questions and Answers

For 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):

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

Evaluate 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

For 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.

For 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):

Let 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

If 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׳ +1 1/2x²-8x D) 2x³ + 1 3/4x² - 2x

Minimize 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

Identify the horizontally shifted function. y=sin(x) y = (x + 4)² y = 5* x3

In 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

Use 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)

Describe 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

Starting 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.

You 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.

Which function has a positive rate of change? 27x-45y = 1 3x + 5y = 9 3x+8y = 12

The 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