Review - Unit 6 Algebra 2 CP

I want to be a Math Teacher

200

What is the only animal that can't jump?

Elephant

400

Who was the first president of the United States?

George Washington

600

Which planet is the hottest in the solar system?

Venus

800

What kind of fish is Nemo?

Clownfish

1000

It's the most consumed chocolate bar in the world.

Snickers.

Piecewise Functions

200

Evaluate the following piecewise function at the indicated values. f(x)= 8x+3, if x>2 & 1/2x-1, if x≤2 f(-3)

-2.5

400

Evaluate the following piecewise function at the indicated values. f(x)= 8x+3, if x>2 & 1/2x-1, if x≤2 f(5)

43

600

Evaluate the following piecewise function at the indicated values. f(x)= 8x+3, if x>2 & 1/2x-1, if x≤2 f(2)

0

800

Evaluate the following piecewise function at the indicated values. f(x)= -x-7, if x≤2 & 3/2x+3, if x>2 f(5)

10.5

1000

Evaluate the following piecewise function at the indicated values. f(x)= -x-7, if x≤2 & 3/2x+3, if x>2 f(-1)

-6

Inverse Functions

200

Find the inverse: f(x)= 3x+7

y= x-7/3

400

Find the inverse: f(x)= 2x-5

y= x+5/2

600

Find the inverse: f(x)= √ x-2

y= (x+2)²

800

Find the inverse: f(x)= -3x+5

y= x-5/-3

1000

Find the inverse: f(x)= x³+10

y= ³√x-10

Function Operations

200

Using the following functions perform the operation f(x)=3x+5 and g(x)=2x-3 : f(x)+g(x)

5x+2

400

Using the following functions perform the operation f(x)=3x+5 and g(x)=2x-3 : f(x)-g(x)

x+8

600

Using the following functions perform the operation f(x)=3x+5 and g(x)=2x-3 : f(x)/g(x)

3x+5/ 2x-3

800

Using the following functions perform the operation f(x)=3x+5 and g(x)=2x-3 : f(x)*g(x)

6x²+x-15

1000

Using the following functions perform the operation f(x)=3x and g(x)=x-5 : f(x) / g(x)

3x/x-5

Compositions

200

Let f(x)=x+5 and g(x)=2x²-1 : f(f(x))

x+10

400

Let f(x)=x+5 and g(x)=2x²-1 : g(f(x))

2x²+20x+49

600

Let f(x)=x+5 and g(x)=2x²-1 : f(g(x))

2x²+4

800

Let f(x)=6x and g(x)=3x+5 : f(g(x))

18x+30

1000

Let f(x)=6x and g(x)=3x+5 : g(f(x))

18x+5