College Algebra Test 7 Review 1

Answer explanation

You need to have the horizontal asymptote labeled and the y intercept labeled.

Tags

CCSS.HSF-IF.C.7E

Answer explanation

Make to to label the zero and the vertical asymptote.

Which equation best matches this graph?

Answer explanation

First decide if this an exponential or logarithmic graph.

Eliminate the logarithmic graphs for this problem.

Then look at the transformation this is shift up 2 not a shift left 2.

Use your graphing calculator to check.

Tags

exponential and log graphs

Explain the relationship between logarithmic and exponential functions. Provide at least one example to support your explanation.

Answer explanation

Exponential and log functions are inverses of each other if they use the same base.

Tags

exponential and log functions

exponential and log functions

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Answer explanation

Determine which choices are exponential and which are logarithmic.

Eliminate those that don't match.

Be careful. log x+c and log(x+c) are very different.

log x +c only is taking the log of x and the c shifts the function up.

log(x+c) take the log of (x+c) and shifts the function left.

Parentheses matter.

Tags

exponential and log graphs

Mathematical Equivalence

OFF

Answer explanation

you should apply the power, multiplication, and division properties when expanding this expression

Tags

expand logs

Mathematical Equivalence

OFF

Answer explanation

You will use multiplication and power properties

Tags

expand logs

Mathematical Equivalence

OFF

Answer explanation

Apply the power and division properties

Tags

condense logs

Mathematical Equivalence

OFF

Answer explanation

Apply the power, multiplication, and division properties

What is the change of base formula?

Mathematical Equivalence

ON

Answer explanation

A formula to convert logs of one base to another. We usually conver to base 10 or base e

Tags

change of base