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 the input variable in parentheses, 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, substitute 2 for x: f(2) = 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 x-value when given f(x)?

Back

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

Front

What is the output of f(-3) if f(x) = -2x + 4?

Back

To find f(-3), substitute -3 into the function: f(-3) = -2(-3) + 4 = 6 + 4 = 10.

Front

If f(x) = 3x + 1, what is f(0)?

Back

f(0) = 3(0) + 1 = 0 + 1 = 1.

Front

What is the meaning of the slope in a linear function?

Back

The slope indicates the rate of change of the function. A positive slope means the function increases, while a negative slope means it decreases.

Front

How do you write a function that represents a line?

Back

A function that represents a line can be written in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the function f(x) = -2x + 5?

Back

The y-intercept is the value of f(x) when x = 0. For f(x) = -2x + 5, the y-intercept is 5.

Front

How do you determine if a function is linear?

Back

A function is linear if it can be written in the form f(x) = mx + b, where m and b are constants, and the graph of the function is a straight line.