Function Notation

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's equation in place of the variable.

Front

Given f(x) = 4x - 10, what is f(5)?

Back

f(5) = 4(5) - 10 = 20 - 10 = 10.

Front

If f(x) = x - 5, what is f(-2)?

Back

f(-2) = -2 - 5 = -7.

Front

What does it mean to find x when f(x) = a?

Back

It means to solve the equation f(x) = a for the variable x.

Front

Given f(x) = -4x - 5, what is x when f(x) = 11?

Back

Set -4x - 5 = 11, solve for x: -4x = 16, x = -4.

Front

If w(x) = 3x - 7, what is w(7)?

Back

w(7) = 3(7) - 7 = 21 - 7 = 14.

Front

What is the output of f(x) = x + 7 when x = 1?

Back

f(1) = 1 + 7 = 8.

Front

What is the general form of a linear function?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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.