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

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value when a specific input value is substituted into the function.

Front

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

Back

f(1) = 2(1) + 3 = 5.

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

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

Back

f(-3) = -(-3) - 2 = 1.

Front

Evaluate g(10) if g(x) = x^2 - 99.

Back

g(10) = 10^2 - 99 = 1.

Front

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

Back

f(3) = -3 + 2 = -1.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

Evaluate f(-5) if f(x) = 9 - x^2.

Back

f(-5) = 9 - (-5)^2 = 9 - 25 = -16.