Functions, Functions, Functions!

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

Is the mapping (2,3), (3,4), (2,5) a function?

Back

Not a Function (the input 2 maps to two different outputs: 3 and 5).

Front

Identify the function from the following sets: (1,2), (2,3), (3,4), (1,5)

Back

Not a Function (the input 1 maps to two different outputs: 2 and 5).

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output value is associated with exactly one input value.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

Front

What is the slope of the line represented by the function f(x) = 3x + 2?

Back

The slope is 3.

Front

If f(x) = x^2, what is f(-3)?

Back

f(-3) = (-3)^2 = 9.