Solving Function Notations

Evaluate f(-2) if f(x) = x²+ 3

• -1

• 1

• 7

• -7

For the function f(x) = -3(x-1) find f(0).

• 0

• -3

• 3

• -1

Evaluate f(-5) if f(x) = -2x - 12

• -22

• -2

• -19

• -5

If f(x) = 7, what is the value of x?

f(x) = 3x+1

• 2

• 3

• 8

f(x) is the same thing as ______.

• y

• x

• input

• an equation

Function f gives the temperature, in Celsius, t hours after midnight. Use function notation to write an equation or expression for each statement. The temperature was the same at 9 a.m. and at 4 p.m.

• f(9) = f(4)

• f(9) = f(16)

• f(9) = 4

• f(9) = 16

The function d(x) where x=gallons of gas and d(x)= # of miles traveled.
Interpret d(8)=300 in context.

• A car with 8 gallons of gas can travel 300 miles.

• A car traveling 8 miles has 300 gallons of gas.

• A car is traveling 300 miles.

• The car traveling 8 mph can go 300 miles.

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

Mathematical Equivalence

ON

Function f gives the temperature, in Celsius, t hours after midnight. Use function notation to write an equation or expression for each statement.

The temperature was the same at 9 a.m. and at 4 p.m.

• f(9) = f(4)

• f(9) = f(16)

• f(9) = 4

• f(9) = 16

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

• y = 2x-3

• f = 2x - 3

• f(x) = 2x-3