Graphing Logarithmic Functions: Asymptotes and Transformations

What is the shape of the graph for log(x) when both x and y are positive?

• Travels towards quadrant III

• Travels towards quadrant I

• Travels towards quadrant IV

• Travels towards quadrant II

Tags

CCSS.HSF-IF.C.7E

What kind of asymptote do logarithmic functions contain?

• Vertical asymptote

• Horizontal asymptote

• Both horizontal and vertical asymptotes

• No asymptote

Tags

CCSS.HSF-IF.C.7E

How do logarithmic functions increase?

• At a decreasing rate

• At a constant rate

• They do not increase

• At an increasing rate

Tags

CCSS.HSF-IF.C.7E

What happens to the graph of log(x) when it is reflected across the y-axis?

• Moves to quadrant II

• Moves to quadrant IV

• Moves to quadrant III

• Moves to quadrant I

What is the vertical asymptote of log base 2 of x?

• x = 1

• x = 0

• y = 0

• y = 1

Tags

CCSS.HSF-IF.C.7E

What is the domain of logarithmic functions?

• All real numbers

• Positive real numbers including zero

• Positive real numbers excluding zero

• Negative real numbers

What is the range of logarithmic functions?

• All real numbers

• Positive real numbers

• Negative real numbers

• From zero to infinity

Tags

CCSS.HSF-IF.C.7E

For the function log base 3 of (x - 1) + 2, what is the vertical asymptote?

• x = 2

• x = 1

• x = 0

• x = 3

Tags

CCSS.HSF-IF.C.7E

In the function 3 - log base 4 (5 - x), what does x equal when it is the vertical asymptote?

• x = 1

• x = 5

• x = 3

• x = 4

Tags

CCSS.HSF-IF.C.7E

How does the graph of 3 - log base 4 (5 - x) behave?

• Moves towards quadrant I

• Moves towards quadrant II

• Moves towards quadrant IV

• Moves towards quadrant III

Tags

CCSS.HSF-IF.C.7E