W~~the following is the correct graph of y = 2x -x2.9
e)
c)
d)
Find all intercepts:
y=x2- 15x+ 56
d)
e)
x-intercept: (8, 0); y-intercept: (0, 56)
x-intercepts: (7, 0), (8,0); y-intercept: (0, 56)
x-intercept: (-56, 0); y-intercepts: (0,-7), (0,-8)
x-intercepts: (7, 0), (8,0); y-intercepts: (0, 56), (0,-56)
x-intercepts: (7,0), (8,0); y-intercepts: (0,-7), (0,-8);
Test for symmetry with respect to each axis and to the origin.
x2 y2 = 8
a)
b)
c)
d)
~.,~_ e})
symmetric with respect to the y-axis
symmetric with respect to the x-axis
symmetric with respect to the origin
no symmetry
A, B, and C
Find the points of intersection of the graphs of the equations:
x = y~ - 55
y=x-1
a) (-6,-8),(9, 7)
~.~b_~ (--6,-7), (9, 8)
c)
(-6,-5),(9, 8)
d)
(6,-7),(-9,8)
e)
(-6, 7),(-9,8)
Estimate the slope of the line fi’om the graph.
1
1
6
1
Find the slope of the line passing through the pair of points.
(-8,0),(5,4)
4
13
e) 0
Ifa line has slope m = -2 and passes through the point (1,5), through which of the following points does
the line also pass?
a) (0,2)
b) (5,-8)
c)
#,~ (0,7)
e) (0,4)
Find the slope of the line x + 2y = 14.
1
a)
2
1
1
Find an equation of the line that passes through the point (7,7) and has the slope m - 4
5
4 63
a) y=--x-55
4. 63
~ b~" y=--x+-i~.
~
5
5
4
c)
y=--x+315
5
4
d) y = --x
5
4
e) y =-x
5
Find an equation of the line that passes through the points (22,-21) and (-33,19).
8
a)
y = ---x +5
11
8
b) y =--x+5
11
8
y =--x-5
c)
11
y = ---x-511
8
e) y = ---x
11
Write an equation of the line that passes through the given point and is perpendicular to the given line.
Point Line
(-9, -2) x=-6
\,:..a_) ) y =-2
x = -9
c) y = -9
d) y= 2
e)
x=9
Write an equation of the line that passes through the given point and is parallel to the given line.
Point Line
(-2,-6) 3x+9y =-33
a) 3x + 9y = 0
3x + 9y = -60
c)
-3x + 9y = -60
d)
3x - 9y = 48
-3x + 9y = 0
e)
Find an equation of the line through the points of intersection of y = x~ andy = 14x- x:.
..a.) y = ~4x
~i b) ) y=7x
y = x-14
c)
d) y = -14x
e)
y=x+7
A company reimburses its sales representatives $195 per day for lodging and meals plus 44¢ per mile
driven. Write a linear equation giving the daily cost C to the company in terms of x, the number of
miles driven. Round the numerical values in your answer to two decimal places, where applicable.
C = -1.95x + 44
a)
b) C = 0.44x - 195
c)
C = 1.95x - 44
~
d)-~~)
C == 0.44x
+ 195
( ~ e~" .... C
-0.44x195
Evaluate (if possible) the function g(x) = x2 (x + 6) at x = t-1. Simplify the result.
t3 + 3t2 - 1 It + 5
a)
t3 + 5t~ - 9t + 5
b)
t3 + 5t~ - 1 it + 5
c)
"~ i,ili~ t3 + 3t2-9t + 5
e) none of the others
Let f(x) = --6x + 10. Then simplify the expression
a)
b)
-1
-5
e)
undefined
f (x) - f (-l O)
x+lO
Find the ,domain and range of the function f (x) = x2 - 5.
¯ (:~, ,~a)~,) domain:
range: [-5,o~)
b) domain: (-0% o~)
range: (-5, o~)
c) domain: (-%
r~ge: [5, ~)
d) doma~: [-5, ~)
r~ge: [-5, ~)
e) doma~: [-5, ~)
r~ge: (-5, ~)
= ~2x+l, x<0
at f(5).
Evaluate the function f (x) L2x + 2, x > 0
a)
b)
(. c~),)
f(5)=ll
f(5)=5
f(5)=12
d)
f(5)=13
e)
f(5)=6
Determine whether y is a function ofx.
y - 5x2 = 14
(-"~.~ yes
b) no
Use the graph of y= f(x), given below to find the graph ofthe function y= f(x + 5).
5
4
1
-6-5-4-3-2-1_1 123456 x
-2
-3
-4
-5
-6
6
5
4
/
-6-5-4-3-2-1. 123456x
-2
-3
-4
-5
-6
b)
-6-5-4-3-2-1.
123456~
-2
-3
-4
-5
-6
c)
I23456~c
d)
e)
5
3
-3
-4
-5
-6
Given f(x)=cosx and g(x)= ~x, evaluate f(g(-3)).
a)
~-cos(-3)
bl 1
d)
~sin(-3)
1
Determine whether the function is even, odd, or neither.
f (x) = x2 (1- x)2
a)
b)
even
odd
,(~ neither
Find the coordinates of a second point on the graph of a functionfif the given point
graph and the function is odd.
b)
Determine which type of function would be most appropriate to fit the given data.
a) exponential
b) trigonometric
r.~ ’~C)~,~,:~ linear
....~)~ ~" quadratic
e) no relationship
is on the