Semester 1 Final EXAM Math 1

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible output values (y-values) that a function can produce.

Front

When raising a power to a power, you __________________ the exponents.

Back

Multiply

Front

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

Back

a_n = 25 - 4(n-1)

Front

How do you find the slope of a line?

Back

The slope is calculated as the change in y divided by the change in x (rise/run).

Front

Is the sequence 17, 9, 1, -7, ... arithmetic?

Back

Yes, it is arithmetic because the difference between consecutive terms is constant.

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 the formula for the nth term of an arithmetic sequence?

Back

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

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, which means it has a constant rate of change.

Front

How do you determine if a sequence is geometric?

Back

A sequence is geometric if the ratio between consecutive terms is constant.

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.