Review #2 Graphing

PreAP Algebra II Name______Review #2 – Graphing Date______Period______

1. A. Give the domain and range in all 3 ways.

B. Is the function increasing or decreasing. Justify your answer.

C. Is this a function?

D. Write an equation for the graph with restrictions.

E. For what values of x is f(x) positive?

If f(x) = 2 – 3x and g(x) = x 2 + 6, find the following.

2. f(-3) = ______3. g(-2) = ______4. g(3) – f(2) = ______

Give the independent and dependent variable for each problem.

5. When the weather is hot my electric bill goes up, and when the weather is cold my electric bill goes down.

6. When buying 3 notebooks, the total cost and the cost per notebook are related.

Find the slope of the line that passes through each pair of points. 7. (-5, 1) and (4, -2) 8. (5, 6) and (-7, 2)

9. (-6, -1) and (-4, -7) 10. (-2, 0) and (-8, 2)

11. (4, 2) and (7, 11) 12. List all pairs of parallel and perpendicular lines.

of 3 Review #2 – Graphing 13.For the equation 4x + 2y = 8:

A. Find the slope

B. Find the x-intercept

C. Find the y-intercept

D. Graph using the intercepts

14.For the equation 3x - 2y = 8:

A. Rewrite in slope-intercept form

B. Find m

C. Find b

D. Graph using the slope and intercept

Write the equation of the line with the following conditions. 1 1 15. slope =  , y-intercept = -3 16. slope = , passes through (-1, 5) 4 3

17. parallel to 2x + y = 10, 18. passes through (2, -1) and (8, -5) passes through (2, -2)

19. undefined slope, 20. passes through (7, 5) and (-1, 5) passes through (4, 2)

21. x y 22. 9 -3 3 -5 -6 -8 -18 -12 -27 -15

of 3 Review #2 – Graphing

23. A. Write the function for f(x)

B. Verify f(1) = 3 is on the graph

C. On what interval of x is f(x) increasing?

D. Give the maximum & minimum value.

24. A. Graph the function:

3x- 2, - 1� x 2 1 f( x )= - x + 7, 2＃ x 6 2 x, x > 6

B. Give the domain and range

C. In what interval would f(x) = 1 fall?

D. Verify that f(4) = 5 falls on this graph