Function Notations Practice

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format 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 point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation and simplify.

Front

Given f(x) = -5x - 15, find f(4).

Back

f(4) = -5(4) - 15 = -20 - 15 = -35.

Front

Given f(x) = -x + 12, find f(-2).

Back

f(-2) = -(-2) + 12 = 2 + 12 = 14.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Given f(x) = -5x + 10, find f(-5).

Back

f(-5) = -5(-5) + 10 = 25 + 10 = 35.

Front

What is the slope of the function f(x) = -5x + 10?

Back

The slope of the function f(x) = -5x + 10 is -5.

Front

How do you find the y-intercept of a linear function?

Back

The y-intercept of a linear function can be found by setting x = 0 in the function's equation and solving for f(0).

Front

Given the function f(x) = 2x + 3, what is f(0)?

Back

f(0) = 2(0) + 3 = 0 + 3 = 3.

Front

What is the output of the function f(x) = 2x + 1 when x = 8?

Back

f(8) = 2(8) + 1 = 16 + 1 = 17.