Alg 2 Chp 1 Exam

Front

What is an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (y-value) is rising as x increases.

Front

How do you determine the increasing intervals of a function?

Back

To find increasing intervals, identify where the derivative of the function is positive.

Front

What is a recursive formula?

Back

A recursive formula defines each term of a sequence using the previous term(s).

Front

Write the recursive formula for the sequence 6, 17, 28, 39, 50.

Back

a_n = a_{n-1} + 11, a_1 = 6.

Front

What is an explicit formula?

Back

An explicit formula provides a direct way to calculate the nth term of a sequence without referring to previous terms.

Front

Write the explicit formula for the sequence 6, 11, 16, 21, ...

Back

a_n = 6 + 5(n - 1).

Front

What does it mean for a system of equations to have one solution?

Back

A system has one solution if the lines represented by the equations intersect at exactly one point.

Front

What does it mean for a system of equations to have no solutions?

Back

A system has no solutions if the lines represented by the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

A system has infinitely many solutions if the equations represent the same line.

Front

How can you tell if a function is increasing or decreasing from its graph?

Back

A function is increasing if the graph rises from left to right; it is decreasing if the graph falls from left to right.