Very Fun Game (Mandatory)

Domain and Range

1

Find the domain of the following: 

(1, 3), (2, 5), (3, 5), (4, 3)

D: 1, 2, 3, 4

2

Find the range of the following:

(1, 3), (2, 5), (3, 5), (4, 3)

R: 3, 5

3

Find the domain of the following:

(2, 1), (-1, 1), (-2, 2), (3, 1)

D: -2, -1, 2, 3

4

Determine the domain of the following:

f(x) = x²-1

all real numbers

5

Determine the domain of the following:

f(x) = -2x²+4x+5

all real numbers

Order of Operations

1

Simplify:

(7 - 2) / 5

1

2

Simplify:

7 - 2 + 14 / 7

7

3

 Simplify:

(1 - 3)²

4

4

Simplify:

5 * 6 / 3 * 1

10

5

Simplify:
(-11 - 6 + 5 + 1 + 3 * 2) / - 5

1

Composite Functions

1

Given:

f(x) = 2x + 2  and  g(x) = x - 5

Find f(g(x))=

f(g(x))= 2x-8

2

Given:

f(x) = x - 1  and  g(x) = 2x

Find f(g(-2))=

f(g(-2))= -5

3

Given:

f(x) = 2x-1  and  g(x) = 6x

Find f(g(4))=

f(g(4))=47

4

Given:

f(x) = 2x²-1  and  g(x) = 3x

Find f(g(x))=

f(g(x))= 18x²-1

5

Given:

f(x) = 2x²-1  and  g(x) = 4x+6

Find f(g(x))=

f(g(x))=32x²+96x+71

Inverse Functions

1

Given the ordered pairs:

(-2, 1), (1, 3), (2, 0)

Find the inverse ordered pairs:

(1, -2), (3, 1), (0, 2)

2

Given:

Domain: -2, 0, 2, 4

Range: -7, -5, -3, -1

Find the domain and range of the inverse function

Domain: -7, -5, -3, -1

Range: -2, 0, 2, 4

3

DOUBLE

Given:

f(x)= x

Find the inverse function:

y^-1 = x

4

Given:

f(x)= 2x-6

Find the inverse function:

y^-1=(x+6)/2

5

Given:

f(x)= 2x+4

Find the inverse function:

y^-1 = (x/2)-2

Slope

1

Define slope

Steepness of a line

Rise / run

(y₂-y₁) / (x₂-x₁)

change in y over change in x

2

A line is said to have zero slope when it is ________

horizontal

3

Find the slope given the equation:

y = 64x + 16

m = 64

4

Find the slope given:

(12, -13) (14, -7)

m = 3

5

Find the slope given: 

2y + 6 = 3x

m = 3/2