# 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) = x2 + 5x - 24
Objective: (2.3) Find the Zeros of a Quadratic Function by Factoring

12. G(x) = x2 + 5x
Objective: (2.3) Find the Zeros of a Quadratic Function by Factoring

13. f(x) = x2 - 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.

15. F(x) = x2 + 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.

16. g(x) = x2 - 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) = x2
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) = x4 - 26x2 + 25
Objective: (2.3) Solve Equations That Are Quadratic in Form

Graph the function f by starting with the graph of y = x2 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) = x2 + 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) = x2 - 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 = -13t2 + 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) = 2x2 - 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) = 3x2 - x + 3
Objective: (2.7) Find the Complex Zeros of a Quadratic Function

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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