Function Review

Front

Evaluate f(-2) if f(x) = x² + 3

Back

f(-2) = (-2)² + 3 = 4 + 3 = 7

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Given h(x) = 5 - 9x, find h(8).

Back

h(8) = 5 - 9(8) = 5 - 72 = -67

Front

Does this mapping diagram represent a function?

Back

Yes, because each input goes to one and only one output.

Front

Which of these sets is not a function? { (2,3) , (2,5) , (4, 9) }

Back

This set is not a function because the input 2 maps to two different outputs (3 and 5).

Front

What is the definition of a domain in a function?

Back

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

Front

What is the definition of a range in a function?

Back

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

Front

If f(x) = 2x + 1, what is f(3)?

Back

f(3) = 2(3) + 1 = 6 + 1 = 7.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.