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. Given
state 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)
___________________