Introduction to Function Notation

How would you write y = 2x - 3 in function notation?

• y = 2x-3

• f = 2x - 3

• f(x) = 2x-3

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.

Is this relation a function?

• Function

• Not a function

Is this relation a function?

• Function

• Not a function

What is x if
f(x) = -2?

• 4

• 0

• 3

• 8

Write the following in function notation.

ABC Furnace charges $75 to make a house call and then $50 an hour after that.

• f(x) = 75x + 50

• f(x) = 50x - 75

• f(x)= 50x + 75

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters. Here is a graph that represents d. Select all statements in function notation that represent the situation.

• d(0) = 170

• d(30) = d(70)

• d(t) = 10 when t is 20

• d(170) = 0

• d(0) = 0

Explain the meaning of f(4) = 16.

• The height is 16 feet at 4 seconds.

• The height is 4 feet at 16 seconds.

Write the following in function notation.

A Pizza restaurant offers the following deal $8.99 for on large pizza and $5 for each additional large pizza on the same order

• f(x) = 8.99x + 5

• f(x) = 5x + 8.99

• f(x) = 5x - 8.99

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

Mathematical Equivalence

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