Function Notation

Front

What is function notation?

Back

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

Front

If f(x) = x + 7, what is f(1)?

Back

f(1) = 1 + 7 = 8.

Front

How do you find the value of g(x) when g(x) = 3x + 1 and g(x) = 19?

Back

Set 3x + 1 = 19, solve for x: 3x = 18, x = 6.

Front

If f(x) = x - 5, what is f(8)?

Back

f(8) = 8 - 5 = 3.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value for a given input by substituting the input into the function's expression.

Front

If f(x) = x + 7, what is f(4)?

Back

f(4) = 4 + 7 = 11.

Front

If f(x) = x - 9, what is f(4)?

Back

f(4) = 4 - 9 = -5.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (f(x) values) that the function can produce.

Front

What is a linear function?

Back

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