CCA 2 Algebra Review

Is it a function?

1

What is a function?

A function is a relation where every input has exactly one output.

2

Is this a function? 

{(-1,-2),(0,-1),(-2,0)}

Yes, each input has exactly one output.

3

What do you use to check if a graph is a function?

Vertical line test

Solve for slope!

1

Find the slope with the points below.

(3,12) (21,66)

m = 3

2

Find the slope 

x-values: (-8, 0, 3)

y-values: (83, -5, -38)

m = -11

3

At 2 hours, a car has traveled 5 miles. At 6 hours, it has traveled 13 miles. What is the rate of change in miles per hour? 

(Hint: There are two points given to you.)

m = 2

Find the y-intercept!

1

Identify the y-intercept.

y = 6x - 4

b= -4

2

Find the y-intercept given this set of numbers.

{(-2,1), (0,5), (2,9)}

b= 5

3

Find the y-intercept given the table below.

x: (2, 4, 6)

y: (7, 11, 15)

b= 3

Find the f(x)

1

Solve.

f(x) = 6x + 2

f(-5)= ?

f(-5)= -28

2

g(x) = 2x + 8; h(x) = x + 8; f(x) = -6x+6h

h(5) = 

h(5) = 13

When the input is (5) the output is (13).

3

p(x) = 6x + 30

p(x) = 20

p(x) = -5/3

When the input is (-5/3) the output is (20).

What is it?

1

What does the x in f(x) mean?

Input

2

What does the y-intercept represent?

The value of y when x = 0.

It is the initial value; the starting point.

3

What is slope?

The rate of change; how much y changes each time x changes.