Chapter 1 Test Review

Writing Functions

100

Write it in y=mx+b form

m=1/2

b= -5

y=(1/2)x-5

200

Write an equation parallel to the line y=5x-2, where b=9. 

y=5x+9

300

Write an equation of a circle with the following:

r=5

center (2,3)

(x-2)²+(y-3)²=25

400

Write an equation that is perpendicular to y=(1/2)x-5, when b=4.

y=-2x+4

500

Write a line that is perpendicular to the line of y=-3x+9, that runs through the point (6,5)

y=(1/3)x+3

Identifying

100

What is the slope of line 

y=3x-5

m=3

200

Identify the slope of the parallel line of y=7x-5

7

300

Identify the center of the circle:

x²+y²=9

(0,0)

400

Identify the domain of the equation f(x)=(x-3)/(x+2)

all real numbers except when x=-2

500

Identify which lines are parrallel and whicg ones are perpendicular:

a. y=-2x+5

b. y=-2x-7

c. y=(1/2)x+6

parallel: a and b

perpendicular: a and c, b and c

Functions

100

Is x=5 a function?

no

200

What is the parent function of y=-x²+5

y=x²

300

Is the inverse of f(x)=5x, f^-1(x)=-5x?

no

400

Find the inverse of y=x-7

y=x+7

500

What is the inverse function of y=x² -5

y=sqrt(x+5)

Combining Functions

100

Add. (f+g)(x)

f(x)=3x+1

g(x)=2x-8

(f+g)(x)=5x-7

200

Subtract. (f-g)(x)

f(x)=9x+8

g(x)=2x²+5x-2

-2x²+4x+10

300

Multiply the functions (fg)(x)

f(x)=2x+1

g(x)=7x+2

14x²+11x+2

400

Divide  and find domain. (f/g)(x)

f(x)=x²+1

g(x)=2x-1

(x²+1)/(2x-1)

All real numbers except when x=1/2

500

Multiply (fg)(x)

f(x)=x²+3x-1

g(x)=4x+2

4x³+14x²+2x-2

Function Composition

100

f(x)=3x²+2x+1

find f(3)

34

200

f(x)=2x-1

Find f(x-2)

2x-5

300

f(x)=x²+3x-1

f(x-2)

x²-x-3

400

f(x)=2x²+2x-1

g(x)=x-5

Find f(g(x))

2x²-18x+39

500

f(x)=x²+5x-1

g(x)=3x-5

Find f(g(2))

5