Function Notation

Front

What is function notation?

Back

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

Front

What does f(-3) = 8 represent in terms of ordered pairs?

Back

The equation f(-3) = 8 represents the ordered pair (-3, 8).

Front

How do you interpret f(x) in a function?

Back

f(x) represents the output of the function f when the input is x.

Front

What is the significance of the ordered pair (x, f(x))?

Back

The ordered pair (x, f(x)) shows the relationship between the input x and its corresponding output f(x) in a function.

Front

If f(2) = -10, what is the ordered pair associated with this function?

Back

The ordered pair associated with f(2) = -10 is (2, -10).

Front

How do you solve the equation 3x + 6 + 7x = 10 + 1 + 5?

Back

Combine like terms to get 10x + 6 = 16, then solve for x to find x = 1.

Front

What is the first step in solving the equation 3(2x - 8) = 6?

Back

Distribute the 3 to get 6x - 24 = 6.

Front

What does it mean if a function is linear?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

To find the y-intercept, set x = 0 in the function and solve for f(0).