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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Math 4 Exam 2

Show all work for partial credit. Be neat.

1. Find the equation of the line that is perpendicular to 2x + 3y = 12 and has the same y-intercept.
(6)
1. ___________________

2. Write the equation of the line that passes through the given points.

(3) a) (3,-1) (-4,-1)
2. a) ___________________

(3) b) (2,4) (4,-4)
b) ___________________

(3) c) (2,-1) (2,-6)
c) ___________________

3. Find a mathematical expression to model the following:
(8) z varies directly as the square of x and inversely as y.
3. ___________________

If z = 3/2 when x = 3 and y = 4 , what is k?
k = ___________________

4. Let f (x)= 4 - 2x 2 ; g(x)= 2 - x ; Calculate and simplify the following. Show
intermediate steps.

(4) a) (fog)(2.3)
a) ___________________

(4) b) h(3)- h(- 3)
b) ___________________

(4) c)
c) ___________________

(4) d)
d) ___________________

(4) e) (goh)( -1)
e) ___________________

5. Find the domain of
(5)
5. ___________________

6. Is the given function even or odd?
(3) a) f (x)= - x4 + 2x2 - 1
6. a) ___________________

(3) b) f (x)= 2x3 + 3x2
b) ___________________

(3) c) f (x)= 4x3 + 3x
c) ___________________

7. Over which interval(s) is the function increasing?

(5)
f (x)= 2x3 + 3x2 - 12x

7. ___________________

8. Use the graph of y = x3 to write an equation for the function y = f(x) as graphed.

f (x)=___________________

9. Givenstate the domain of f (x). Find f -1(x).
(7)

9. ___________________
f -1(x)=___________________

10. Let f (x)= 3 - x and g(x)= x3 . Find
(8)
10. ___________________

11. Given y = - 2x2 - 4x - 5 .
(8) Write in standard form for a parabola and determine the maximum or minimum value.
11. ___________________
equation: ___________________

12. a) Find the quadratic function that has a maximum point at (-1,2) and passes through (0,1).
(5)
a) ___________________

b) Find the quadratic function whose graph opens upward and has x-intercepts at (-4,0) and(1,0).
(5)
b) ___________________

Bonus: Find a relationship between x and y so that (x, y) is equidistant from the two points (4,-1) and (-2,3).
(5)
___________________