Unit 6 Review - Algebra 2

If b > 1, the function is an ________ ________ and is _________.

• exponential growth, increasing

• exponential decay, decreasing

• linear function, constant

• logarithmic function, decreasing

If b < 1, the function is an ________ ________ and is _________.

• exponential decay, decreasing

• exponential growth, increasing

• linear function, constant

• quadratic function, increasing

An asymptote is _________

• A line which the graph approaches.

• A point where the graph intersects the axis.

• A curve that never changes direction.

• A region enclosed by the graph.

• y > 0

• y < 0

• y ≥ 0

• y ≤ 0

• (0,1)

• (1,0)

• (0,3)

• (1,3)

Directions: Write each equation in exponential form. 3. log₇1 = 0 Which of the following is the correct exponential form?

• 7⁰ = 1

• 7¹ = 0

• 1⁷ = 0

• 0⁷ = 1

Evaluate each log using the change of base formula. log₂54

• 5.7549

• 4.7549

• 6.7549

• 3.7549

According to the product rule, log_b (m * n) = ________.

• log_b m + log_b n

• log_b m - log_b n

• log_b m * log_b n

• log_b m / log_b n

According to the quotient rule, log_b (m / n) = ________.

• log_b m - log_b n

• log_b m + log_b n

• log_b m × log_b n

• log_b m / log_b n

• n * log_b m

• log_b (m) + n

• m * log_b n

• log_b (m * n)