4.3 Graphing Logs

Front

What is the domain of the logarithmic function?

Back

(1, ∞)

Front

What is the x-intercept of the function \( \log_7(x) \)?

Back

(1, 0)

Tags

CCSS.HSF.LE.B.5

Front

How are exponential functions and logarithmic functions related?

Back

They are inverses of each other.

Tags

CCSS.HSF.BF.B.5

Front

What is the range of the logarithmic function?

Back

(-∞, ∞)

Tags

CCSS.HSF-IF.C.7E

Front

What does the transformation \( k(x) = \log(x - 6) - 4 \) represent in relation to the parent function \( f(x) = \log(x) \)?

Back

It has been shifted 6 units to the right and 4 units down.

Front

What is the general shape of the graph of a logarithmic function?

Back

It increases slowly and approaches the vertical asymptote at the y-axis.

Tags

CCSS.HSF-IF.C.7E

Front

What is the vertical asymptote of the logarithmic function \( \log(x) \)?

Back

x = 0.

Tags

CCSS.HSF-IF.C.7E

Front

What happens to the value of \( \log(x) \) as x approaches 0 from the right?

Back

It approaches -∞.

Tags

CCSS.HSF-IF.C.7E

Front

What is the value of \( \log(1) \)?

Back

0.

Front

How does the base of a logarithm affect its graph?

Back

A larger base results in a steeper graph, while a smaller base results in a flatter graph.

Tags

CCSS.HSF-IF.C.7E