Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the letter 'f' followed by parentheses containing the variable, such as f(x).

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. For example, to find f(2) for f(x) = 3x + 1, calculate 3(2) + 1 = 7.

Front

What does f(x) = -4x - 10 represent?

Back

This represents a linear function where the slope is -4 and the y-intercept is -10.

Front

How do you find the value of x when f(x) is given?

Back

Set the function equal to the given value and solve for x. For example, if f(x) = -4 and f(x) = -4x - 10, set -4x - 10 = -4 and solve for x.

Front

What is the value of f(10) if f(x) = -4x - 10?

Back

f(10) = -4(10) - 10 = -40 - 10 = -50.

Front

How do you find f(-2) for f(x) = x^2 + 3?

Back

Substitute -2 into the function: f(-2) = (-2)^2 + 3 = 4 + 3 = 7.

Front

What is the output of f(x) = -4 when x = 0?

Back

f(0) = -4, since the function is constant.

Front

How do you find f(-3) for f(x) = 2x + 4?

Back

Substitute -3 into the function: f(-3) = 2(-3) + 4 = -6 + 4 = -2.

Front

What is the process to solve for x in f(x) = 10?

Back

Set the function equal to 10 and solve for x. For example, if f(x) = -4x - 10, set -4x - 10 = 10 and solve for x.

Front

What does it mean if a function is linear?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.