Math 112 Test 3 4 pts each March 16, 2006

Write in slope-intercept form and STATE the slope and y-intercept.

1. 3x - 2y +4 =0

Use the given slope and intercept to graph the line:

2. slope = -3, y-intercept = 6

Graph the line using the given point and slope.

3. Point = (-2, 4) , slope = 0

Write the equation of the line with the given slope and y-intercept.

4. slope = 1/2, y - intercept 3.

Write the equation of the line thru the given point with the given slope.

5. Point = (-1, 3) , slope = undefined

Find Domain & Range and tell whether or not the set represents a function

6. {(1,2), (1.3), (-4, 1), (0,0)}

Which of the following equations represents a function?

7. x² + y³ = 8

8. x² - 3 = 4 y⁴

Find the Domain

9. f(x) = 5

10.

11.

Function evaluation: Find

f(2), f(2b),

12. 1. f(x) = 3x² -x

13. f(x) = 5

Graph parabolas and Find vertex, axis of symmetry, max or min value.

14. f(x) = - x²

15. f(x) = (1/2) x² + 5

16. f(x) = -5(x-4)² + 3

17. f(x) = 4x² + 24 x + 38

18. f(x) = (x + 3)(2x - 5)

Give the domain and range for each of the following. Also state whether or not the graph represents a function.

19.

20.

Graph:

21. y = (x+2)²(x-4)(x+1)

Find the equation for the function whose graph is:

22.

.

23.

24.