Topic 3 Review

Front

Find f(2) for the function f(x) = 2x + 10.

Back

f(2) = 2(2) + 10 = 14.

Front

What type of association does a graph with no clear upward or downward trend show?

Back

None.

Front

Evaluate f(-5) for the function f(x) = x + 3.

Back

f(-5) = -5 + 3 = -2.

Front

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Back

The 59th term is -496.

Front

Write the EXPLICIT rule for the arithmetic sequence -10, -3, 4, 11,...

Back

a_n = 7n - 17.

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

Use the formula a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in the sequence 26, 17, 8, ...?

Back

The common difference is -9.

Front

If a sequence has a first term of 5 and a common difference of 3, what is the 10th term?

Back

The 10th term is 32.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.