F Functions Complete the Table D9B

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the equation p = c + 6 represent?

Back

This equation shows that the value of p is 6 units greater than the value of c.

Front

How do you solve for c in the equation c = b + 10?

Back

To solve for c, you add 10 to the value of b.

Front

What is the output when b = 1 in the function c = 6b?

Back

The output is c = 6 * 1 = 6.

Front

What does the equation w = 10b + 18 represent?

Back

This equation indicates that w increases by 10 for each unit increase in b, starting from 18.

Front

If b = 4 in the function w = 10b + 18, what is w?

Back

w = 10 * 4 + 18 = 58.

Front

What is the significance of the constant term in a linear function?

Back

The constant term represents the value of the function when the input is zero.

Front

How do you find the output of the function a = 10m + 17 when m = 2?

Back

Substitute m = 2 into the equation: a = 10 * 2 + 17 = 37.

Front

What is the relationship between variables in the equation c = 6b?

Back

The variable c is directly proportional to b, with a proportionality constant of 6.

Front

What does it mean for a function to be linear?

Back

A linear function is one that graphs to a straight line, meaning it has a constant rate of change.