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 and simplify.

Front

If f(x) = 3x + 2, what is f(4)?

Back

f(4) = 3(4) + 2 = 14.

Front

If f(x) = 3x + 2, what is f(-3)?

Back

f(-3) = 3(-3) + 2 = -7.

Front

If f(x) = 3x + 2, what is f(2)?

Back

f(2) = 3(2) + 2 = 8.

Front

If f(x) = 3x + 2, what is f(-2)?

Back

f(-2) = 3(-2) + 2 = -4.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a function represent?

Back

The slope represents the rate of change of the function; it indicates how much the output value changes for a unit change in the input value.

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of the function when the input is zero (f(0)). It is the point where the graph intersects the y-axis.

Front

Given f(x) = (3 - x)^2, what is f(-2)?

Back

f(-2) = (3 - (-2))^2 = (3 + 2)^2 = 25.