Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses letters like f, g, or h followed by parentheses containing the independent variable, e.g., f(x).

Front

In the function notation h(7) = 10, what does 7 represent?

Back

7 is the independent variable.

Front

In the function notation h(7) = 10, what does 10 represent?

Back

10 is the value of the function h at the independent variable 7.

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) = 5x - 25, what is f(3)?

Back

f(3) = 5(3) - 25 = 15 - 25 = -10.

Front

If f(x) = x^2 + 2x + 5, what is f(-3)?

Back

f(-3) = (-3)^2 + 2(-3) + 5 = 9 - 6 + 5 = 8.

Front

What is the process to find the x-value when f(x) = a?

Back

Set the function equal to a and solve for x.

Front

If f(x) = -2x + 10, what is f(-3)?

Back

f(-3) = -2(-3) + 10 = 6 + 10 = 16.

Front

What does it mean for a function to be 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 of the function f(x) = 3x + 2?

Back

The slope is 3.