Algebra 2 Semester 1 Final Exam

Front

Find the inverse of the function: f(x) = 8x - 32

Back

The inverse is given by: y = \frac{1}{8}x + 4.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term is given by: a_n = a_1 + (n-1)d.

Front

If a_1 = 5 and d = 0.5, what is the 25th term of the sequence?

Back

The 25th term is 17.

Front

What does it mean for a function to be even?

Back

A function is even if f(-x) = f(x) for all x in the domain.

Front

What does it mean for a function to be odd?

Back

A function is odd if f(-x) = -f(x) for all x in the domain.

Front

What is a recursive rule in sequences?

Back

A recursive rule defines each term of a sequence using previous terms.

Front

Given the sequence 1, 4, find the next four terms using the recursive rule: a_n = a_{n-1} + 3n.

Back

The next four terms are 19, 94, 169.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two variables.

Front

What does a negative correlation in a scatter plot indicate?

Back

As x increases, y decreases.

Front

What is the formula for finding the sum of the first n terms of an arithmetic series?

Back

The sum is given by: S_n = \frac{n}{2}(a_1 + a_n).