Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify to find the output.

Front

If f(x) = x + 7, what is f(5)?

Back

f(5) = 12.

Front

What is the value of f(0) if f(x) = x^2 + 3?

Back

f(0) = 3.

Front

If h(x) = -5x + 7, what is h(2)?

Back

h(2) = -3.

Front

Evaluate f(-2) if f(x) = x^2 + 3.

Back

f(-2) = 7.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every x-value has exactly one corresponding y-value.

Front

If f(x) = 2x - 4, what is f(3)?

Back

f(3) = 2.

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.