Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for the input x.

Front

How do you find the output of a function given an input?

Back

To find the output, substitute the input value into the function rule and simplify.

Front

What is the function rule for the output when the input is increased by 3?

Back

The function rule is f(x) = x + 3.

Front

If the function rule is x ÷ 3, what is the output when the input is 12?

Back

The output is 4.

Front

What does it mean to multiply a number by 7 in a function?

Back

It means to take the input value and multiply it by 7 to get the output.

Front

What is the function rule for a linear function?

Back

A linear function can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a linear function?

Back

The slope is determined by the ratio of the change in y to the change in x between two points on the line.

Front

What is the output of the function y = x + 2 when the input is 5?

Back

The output is 7.

Front

What is the output of the function y = x ÷ 5 when the input is 25?

Back

The output is 5.