Alg 2 Unit 7 Slides Review

Lesson 1

Determine whether the functions
represent exponential growth or decay:

Determine whether the functions
represent exponential growth or decay:

growth

Determine whether the functions
represent exponential growth or decay:

Determine whether the functions
represent exponential growth or decay:

decay

An initial population of 655 geese increases at an
annual rate of 4%. Write an exponential function to
model the quail population.

An initial population of 655 geese increases at an
annual rate of 4%. Write an exponential function to
model the quail population.

y=655(1.04)x

Determine whether the functions
represent exponential growth or decay:

Write an exponential function y=abx for a graph
that includes (1, 12) and (0, 4).

Determine whether the functions
represent exponential growth or decay:

Write an exponential function y=abx for a graph
that includes (1, 12) and (0, 4).

y=4(3)x

Graph the following

y=2x-2-3

Graph the following

y=2x-2-3

Lesson 2

(a) Identify the parent function.
(b)Describe the transformation.

(a) Identify the parent function.
(b)Describe the transformation.

a) y=(¼)x

b) Vertical stretch by 2, left 1

(a) Identify the parent function.
(b)Describe the transformation.

(a) Identify the parent function.
(b)Describe the transformation.

a) y=(2)x

b) Reflection over x-axis, up 5 units

Suppose you invest $1950 at an annual
interest rate of 5.8% compounded
continuously. How much will you have in
the account after 7 years?

Suppose you invest $1950 at an annual
interest rate of 5.8% compounded
continuously. How much will you have in
the account after 7 years?

$2926.56

Lesson 3

Evaluate the Logarithm:

Evaluate the Logarithm:

3

Evaluate the Logarithm:

Evaluate the Logarithm:

4

Write the equation in logarithmic form

Write the equation in logarithmic form

Write the equation in logarithmic form

Write the equation in logarithmic form

Write the equation in exponential form

Write the equation in exponential form

Write the equation in exponential form

Write the equation in exponential form

Lesson 4

Condense into a single logarithm:

Condense into a single logarithm:

Condense into a single logarithm:

Condense into a single logarithm:

Graph the logarithm

y=log3(x+1)+3

Graph the logarithm

y=log3(x+1)+3

Lesson 5

Solve the exponential equation:

Solve the exponential equation:

x=log7(35)/2≈0.914

Solve the exponential equation:

Solve the exponential equation:

w=5*log5(240)≈17.027

Solve the log equation:

Solve the log equation:

x=12.5

Solve the log equation:

Solve the log equation:

x=32