Exam 2: Linear and Quadratic Functions

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - $f(x)=-3 x^{2}-5$

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $\mathrm { F } ( \mathrm { x } ) = 5 \mathrm { x } ^ { 2 } - 7 \mathrm { x } - 1$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x 3 5 7 15 16 y 8 11 7 14 20

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 8 x | > 16$

Solve the problem. -To convert a temperature from degrees Celsius to degrees Fahrenheit, you multiply the temperature in degrees Celsius by $1.8$ and then add 32 to the result. Express $F$ as a linear function of $c$ .

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below. Performance 59 63 65 69 58 77 76 69 70 64 Attitude 72 67 78 82 75 87 92 83 87 78

Solve the problem. -A coin is tossed upward from a balcony $300 \mathrm { ft }$ high with an initial velocity of $32 \mathrm { ft } / \mathrm { sec }$ . During what interval of time will the coin be at a height of at least $60 \mathrm { ft } ? \left( \mathrm {~h} = - 16 \mathrm { t } ^ { 2 } + \mathrm { v } _ { \mathrm { O } } \mathrm { t } + \mathrm { h } _ { \mathrm { O } - } \right)$

Write the word or phrase that best completes each statement or answers the question. -The following data represents the total revenue, R (in dollars), received from selling x bicycles at Tunney's Bicycle Shop. Using a graphing utility, find the quadratic function of best fit using coefficients rounded to the nearest hundredth. Number of Bicycles, x Total Revenue, R (in dollars) 0 0 22 27,000 70 46,000 96 55,200 149 61,300 200 64,000 230 64,500 250 67,000

Find the zero of the linear function. - $F ( x ) = \frac { 1 } { 7 } x - 9$

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 14 x + 24$

Choose the one alternative that best completes the statement or answers the question. Find the complex zeros of the quadratic function. - $F ( x ) = x ^ { 2 } - 8 x + 20$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 2 | < 14$

Solve the problem. -A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 276 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $H ( x ) = x ^ { 6 } - 26 x ^ { 3 } - 27$

Choose the one alternative that best completes the statement or answers the question. Find the complex zeros of the quadratic function. - $h ( x ) = x ^ { 2 } - 12 x + 61$

Without solving, determine the character of the solutions of the equation. - $x ^ { 2 } - 6 x + 5 = 0$

Graph the function using its vertex, axis of symmetry, and intercepts. - $f(x)=x^{2}-2 x-8$

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

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. - $f ( x ) = x ^ { 2 } - 36$

Use a graphing calculator to plot the data and find the quadratic function of best fit. -An engineer collects data showing the speed s of a given car model and its average miles per gallon M. Use a graphing calculator to plot the scatter diagram. What is the quadratic function of best fit? Speed, s mph, M 20 18 30 20 40 23 50 25 60 28 70 24 80 22