Function Notation and Evaluating Functions

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function in place of the variable and simplify.

Front

If f(x) = 4x + 5, what is f(4)?

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.

Front

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

Back

h(2) = -5(2) + 7 = -10 + 7 = -3.

Front

What is the first step to find f(1) if f(x) = 2x + 1?

Back

Plug a 1 in for all the x's.

Front

Given f(x) = 2x² + 5x - 17, find f(-1).

Back

f(-1) = 2(-1)² + 5(-1) - 17 = 2(1) - 5 - 17 = 2 - 5 - 17 = -20.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function for a given input x.

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 (f(x) values) that the function can produce.

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, where m is the slope and b is the y-intercept.