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

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

Back

f(2) = 2(2) + 3 = 4 + 3 = 7.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value for a given input by substituting the input into the function's equation.

Front

Evaluate f(-1) if f(x) = x^2 - 4.

Back

f(-1) = (-1)^2 - 4 = 1 - 4 = -3.

Front

What is the vertical line test?

Back

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

Front

Evaluate f(0) if f(x) = 3x - 5.

Back

f(0) = 3(0) - 5 = 0 - 5 = -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

Evaluate f(3) if f(x) = x^2 + 2x + 1.

Back

f(3) = 3^2 + 2(3) + 1 = 9 + 6 + 1 = 16.

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(1) if f(x) = 5 - x.

Back

f(1) = 5 - 1 = 4.