Exam 2: Linear and Quadratic Functions

Solve the problem. -Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with an embroidery of a Great Pyrenees dog on the front. There are fixed costs of $560 to set up for production, and variable costs of $33 per jacket. Write An equation that can be used to determine the total cost, C(x), encountered by Marty's Company in producing x Jackets.

employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $g ( x ) = 16 x ^ { 2 } - 1$

Solve the equation. - $| x + 7 | - 3 = 11$

Write the word or phrase that best completes each statement or answers the question. -The following data represents the amount of money Tom is saving each month since he graduated from college. month 1 2 3 4 5 6 7 savings \ 52 \ 70 \ 81 \ 91 \ 102 \ 118 \ 132 Find the slope of the line of best fit for the data set and interpret it.

Solve the problem. -The owner of a video store has determined that the cost $\mathrm { C }$ , in dollars, of operating the store is approximately given by $C ( x ) = 2 x ^ { 2 } - 32 x + 790$ , where $x$ is the number of videos rented daily. Find the lowest cost to the nearest dollar.

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x | > - 4$

Determine the quadratic function whose graph is given. -

Choose the one alternative that best completes the statement or answers the question. Find the complex zeros of the quadratic function. - $G ( x ) = x ^ { 2 } + 100$

Solve the problem. -A truck rental company rents a moving truck one day by charging $39 plus $0.09 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost Of renting the truck if the truck is driven 120 miles?

Determine if the type of relation is linear, nonlinear, or none. -

Write the word or phrase that best completes each statement or answers the question. -The following data represents the Olympic winning time in Women's 100 m Freestyle. year 1972 1976 1980 1984 1988 1992 1996 time 58.59 55.65 54.79 55.92 54.93 54.65 54.50 Using the line of best fit (with slope correct to 5 decimal places) for the data set, predict the Olympic winning time in 2000.

Determine the average rate of change for the function. -p(x) = -x + 1

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 2 4 5 6 7 11 13 20

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x 2 3 7 8 10 y 3 4 4 5 6

Determine where the function is increasing and where it is decreasing. - $f ( x ) = - x ^ { 2 } + 2 x + 8$

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = - 5 x ^ { 2 } + 5 x$

Solve the problem. -Suppose that $f ( x ) = - x - 6$ and $g ( x ) = x - 11$ . (a) Solve $f ( x ) = 0$ . (b) Solve $g ( x ) = 0$ . (c) Solve $f ( x ) = g ( x )$ .

Find the zero of the linear function. -g(x) = 6x - 36

Without solving, determine the character of the solutions of the equation. - $x ^ { 2 } + 4 x + 5 = 0$

Choose the one alternative that best completes the statement or answers the question. Find the complex zeros of the quadratic function. - $f ( x ) = x ^ { 2 } - 36$