# graph a linear function

**Use the slope and y -intercept to graph the linear
function .**

**Objective: (2.1) Graph a Linear Function **

**Determine whether the given function is linear or
nonlinear.**

**Objective: (2.1) Graph a Linear Function**

**Determine the average rate of change for the function .
**

3. F(x) = -9

**Objective: (2.1) Use Average Rate of Change to Identify Linear Functions**

**Graph the function. State whether it is increasing, decreasing, or constant.**.

**Objective: (2.1) Determine Whether a Linear Function is
Increasing, Decreasing, or Constant**

**Find the zero of the linear function.**

**Objective: (2.1) Find the Zero of a Linear Function**

** Solve the problem .**

6. A truck rental company rents a moving truck one day by charging $27 plus
$0.13 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 200 miles?

**Objective: (2.1) Work with Applications of Linear Functions**

7. Let f(x) be the function represented by the dashed line and g(x) be the
function represented by the

solid line. Solve the equation f(x) = g(x).

**Objective: (2.1) Find the Zero of a Linear Function**

8. Let f(x) be the function represented by the dashed line and g(x) be the
function represented by the

solid line. Solve the equation f(x) < g(x).

**Objective: (2.1) Find the Zero of a Linear Function**

**If y varies directly as x, find a linear function which relates them.
**

9. y = 8 when x = 24

**Objective: (2.2) Construct a Linear Model Using Direct Variation**

**Solve.**

10. If the resistance in an electrical circuit is held constant, the amount of current flowing through the

circuit varies directly with the amount of voltage applied to the circuit. When 5 volts are applied to a

circuit, 125 milliamperes of current flow through the circuit. Find the new current if the voltage is

increased to 10 volts.

**Objective: (2.2) Construct a Linear Model Using Direct Variation**

**Use factoring to find the zeros of the quadratic
function. List the x-intercepts of the graph of the function.
**

11. f(x) = x

^{2}+ 5x - 24

**Objective: (2.3) Find the Zeros of a Quadratic Function by Factoring**

12. G(x) = x

^{2}+ 5x

**Objective: (2.3) Find the Zeros of a Quadratic Function by Factoring**

13. f(x) = x

^{2}- 81

**Objective: (2.3) Find the Zeros of a Quadratic Function by Factoring**

**Find the zeros of the quadratic function using the Square
Root Method . List the x-intercepts of the graph of
the function.
**

14. g(x) = (x - 7)

^{2}- 4

**Objective: (2.3) Find the Zeros of a Quadratic Function Using the Square Root Method**

**Find the zeros of the quadratic function by completing the square. List the x- intercepts of the graph of the**

function.

function.

15. F(x) = x

^{2}+ 14x + 13

**Objective: (2.3) Find the Zeros of a Quadratic Function by Completing the Square**

**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.

any, of the graph of the function.

16. g(x) = x

^{2}- 12 - 9x

**Objective: (2.3) Find the Zeros of a Quadratic Function Using the Quadratic Formula**

**Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions .**

17. f(x) = 7x + 8

g(x) = x

^{2}

**Objective: (2.3) Find the Point of Intersection of Two Functions**

**Find the real zeros of the function. List the x-intercepts
of the graph of the function.
**

18. F(x) = x

^{4}- 26x

^{2}+ 25

**Objective: (2.3) Solve Equations That Are Quadratic in Form**

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

**Objective: (2.4) Graph a Quadratic Function Using
Transformations
**

**Find the vertex and axis of symmetry of the graph of the function.**

20. f(x) = x

^{2}+ 2x - 3

**Objective: (2.4) Identify the Vertex and Axis of Symmetry of a Quadratic Function**

**Graph the function using its vertex, axis of symmetry, and
intercepts.**

**Objective: (2.4) Graph a Quadratic Function Using Its
Vertex, Axis and Intercepts**

**Determine, without graphing, whether the given quadratic function has a maximum
value or a minimum value and
then find that value.**

22. f(x) = x

^{2}- 2x - 5

**Objective: (2.4) Find the Maximum or Minimum Value of a Quadratic Function**

**Solve the problem.**

23. A projectile is thrown upward so that its distance above the ground after t
seconds is h = -13t^{2} + 468t.

After how many seconds does it reach its maximum height?

**Objective: (2.6) Solve Applied Problems by Building Quadratic Functions**

24. The owner of a video store has determined that the
cost C, in dollars, of operating the store is

approximately given by C(x) = 2x^{2} - 32x + 740, where x is the number of videos
rented daily. Find the

lowest cost to the nearest dollar.

**Objective: (2.6) Solve Applied Problems by Building Quadratic Functions**

**Find the complex zeros of the quadratic function.**

25. g(x) = 3x^{2} - x + 3

**Objective: (2.7) Find the Complex Zeros of a Quadratic Function
**Answer Key

Testname: 185 CH 2 REV FRA

2. linear

3. 0

4. increasing

10. 250 milliamperes

19

20. (-1, -4); x = -1

21. vertex (-5, 0)

intercepts (0, 25), (-5, 0)

22. minimum; - 6

23. 18 s

24. $612

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