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

Given f(x) = 2x + 3, what is f(4)?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

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

How do you find the x-intercept of a function?

Back

To find the x-intercept, set f(x) = 0 and solve for x.

Front

Given f(x) = -4x - 10, find the x-intercept.

Back

Set -4x - 10 = 0. Solving gives x = -2.5.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

What is the slope of the function f(x) = 3x - 7?

Back

The slope (m) is 3, indicating the function rises 3 units for every 1 unit it moves to the right.

Front

How do you solve for x in the equation f(x) = k?

Back

Substitute k for f(x) and solve the resulting equation for x.