Name Date Class

SLO Graph Review

Graph each function, and identify its domain and range.

1. 2.

Domain: ______Domain: ______

Range: ______Range: ______

Using the graph of as a guide, describe the transformation.

3.

4.

Use the description to write the square root function g.

5. The parent function is reflected across
the y-axis, vertically stretched by a factor of 7, and
translated 3 units down.

6. The parent function is translated 2 units right,
compressed horizontally by a factor of , and reflected
across the x-axis.

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Holt McDougal Advanced Algebra

Name Date Class

7. Using the graph of as a guide, describe

the transformation and graph the function.

Graph. Identify the asymptotes, domain, and range of each function.

8.

VA:______D:______

HA:______R:______

9. VA:______D:______

HA:______R:______

Identify the zeros and asymptotes of the function. Then graph.

10.

a. Zeros: ______

b. Vertical asymptote:

c. Horizontal asymptote:

11. f(x) = x2 – 2x – 3

x - 2

a. Zeros: ______

b. Vertical asymptote:

c. Horizontal asymptote:

Graph each absolute-value function and identify the maximum or minimum point. Give the domain and range and the intercepts.

12. f(x) = ïxï + 3 13. f(x) = ïx + 4ï

Max/min:______Max/min:______

Intercepts: x = ______Intercepts: x = ______

y = ______y = ______

Domain:______Domain:______

Range:______Range:______

14. f(x) = 1ïxï 15. f(x) = ïx - 5ï

2

Max/min:______Max/min:______

Intercepts: x = ______Intercepts: x = ______

y = ______y = ______

Domain:______Domain:______

Range:______Range:______

Write a function to describe each of the following:

16. The graph of f(x) = ïxï is translated 2 units right. ______

17. The graph of f(x) = ïxï is stretched by a factor of 3 and reflected across the x-axis.

Graph the function and give the domain and range. Write and graph the inverse function.

18. f(x) = 2x – 5 19. f(x) = 12 - 3x

4

Domain:______Domain:______

Range:______Range:______

Inverse:______Inverse:______

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Holt McDougal Advanced Algebra