Functions, Linear Functions, and Function Notation

A relation where every input in matches with exactly one output is called what?

• Relation

• Linear

• Exponential

• Function

Is this table a function or not a function? 

• Function

• Not a Function

Is this a function? Explain.

• Yes; it passes the horizontal line test.

• No; it is not a straight line.

• Yes; it passes the vertical line test.

• No; there is a line connecting the dots.

If g(x) = 2(-5x +2) + 10, what is the value of g(4)?

Mathematical Equivalence

ON

If g(x) = 6(-8x + 12) + 7, what is the value of g(6)?

Mathematical Equivalence

ON

Given h(x) = 4 - 5x, find h(7).

Mathematical Equivalence

ON

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

For the function f(x) = -3x + 3 find f(0).

• 0

• -3

• 3

• -1

Solve for f(5):
f(5) = -x + 4

• 9 

• 1

• -1

• -9

What is the value of x in:
f(4) = 3x - 1

• 11

• 4

• -1

• 0