Ch 3 Test Review

Front

What is the equation that best represents the graph?

Back

y=2^x

Front

Rewrite the equation in logarithmic form: 2^x = y

Back

x = log_2(y)

Front

Describe the transformations of: f(x) = 3log_4(x-5) + 2

Back

Vertical stretch by 3, Right 5 units, Up 2

Front

Solve the following and give the exact answer: 2e^{3x+4} - 15 = 11

Back

x = \frac{\ln 13 - 4}{3}

Front

Using the parent function y=log_3(x), what would the graph of y=log_3(x+5) look like?

Back

Horizontal shift left 5 units

Front

What is the definition of a logarithm?

Back

A logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = \frac{log_k(a)}{log_k(b)} for any base k.

Front

What does a vertical stretch of a function do?

Back

A vertical stretch multiplies the output of the function by a factor greater than 1, making the graph taller.

Front

What does a horizontal shift of a function do?

Back

A horizontal shift moves the graph left or right along the x-axis.