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Inverse Functions Day of Quiz Review

Total questions: 16

Worksheet time: 40mins

Name
Class
Date
1.
When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
a)
solve for y
b)
replace y with f-1(x)
c)
solve for x
d)
find the greatest common factor
2.

Each option is a line of work that you would show if you were finding the inverse of f(x)= 2x-5.

Put the work in the correct order to find the inverse.

a)

y=2x-5

b)

2y-5=x

c)

2y= x+5

d)

y=x+52y=\frac{x+5}{2}  

e)

f1(x)=12x+52f^{-1}\left(x\right)=\frac{1}{2}x+\frac{5}{2}  

1)
2)
3)
4)
5)
3.

Find the inverse of  f(x)=10+7xf(x)=10+7x  

a)

f1(x)=x710f^{-1}(x)=\frac{x-7}{10}

b)

f1(x)=x107f^{-1}(x)=\frac{x-10}{7}

c)

f1(x)=110+7xf^{-1}(x)=\frac{1}{10+7x}

4.

Are these functions inverses?

a)

No

b)

Yes

c)

No way to tell

5.

Are these inverse functions?

a)

yes

b)

no

6.

Graph the inverse

a)
b)
c)
d)
7.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
8.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
9.

Choose the point-slope form of the equation of the line through the given point with the given slope.


through (−2, −5)

slope = −5

a)

y5=5(x2)y-5=-5\left(x-2\right)

b)

y+5=5(x+2)y+5=-5\left(x+2\right)

c)

y+2=5(x+5)y+2=-5\left(x+5\right)

d)

y5=5(x+2)y-5=-5\left(x+2\right)

10.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
11.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

12.
Perpendicular lines have the same slope.
a)
True
b)
False
13.
Parallel lines have the same slope
a)
True
b)
False
14.
Find the slope of a line parallel to the line below.
y = 2x + 4
a)
2
b)
-1/2
c)
1/2
d)
-2
15.
Find the slope of a line perpendicular to the line below.
y = 2x + 4
a)
2
b)
-1/2
c)
1/2
d)
-2
16.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.