6.8.4 gtmath - Function Tables and rules

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (x) and output (y) values.

Front

If the function rule is x + 3, what is the output when the input is 4?

Back

7

Front

What does the equation y = x + 8 represent?

Back

It represents a linear function where the output (y) is equal to the input (x) plus 8.

Front

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

Back

4

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the output of the function rule y = 2x + 1 when x = 3?

Back

7

Front

How do you determine if a sequence is arithmetic, geometric, or neither?

Back

Check the differences between consecutive terms for arithmetic, and check the ratios for geometric.

Front

What is the function rule for the output 10 when the input is 4?

Back

y = 2.5x (since 10 = 2.5 * 4).

Front

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

Back

10