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

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 expression in place of the variable.

Front

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

Back

f(1) = 1 + 7 = 8.

Front

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

Back

f(4) = 4 + 7 = 11.

Front

If f(x) = x - 5, what is f(9)?

Back

f(9) = 9 - 5 = 4.

Front

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

Back

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

Front

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

Back

f(-2) = -2 - 5 = -7.

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 does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.