Evaluating Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is 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

What does it mean for a set of values to be a function?

Back

A set of values is a function if no x-value is repeated with a different y-value.

Front

Evaluate f(x) = 2x + 3 for f(4).

Back

11

Front

Evaluate f(x) = x^2 for f(5).

Back

25

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each x-value has only one corresponding y-value.

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, because the x-value 1 has two different y-values (2 and 3).

Front

Evaluate f(x) = x^2 - 4 for f(-2).

Back

0