Logarithmic Functions Quiz

What is the domain of the function y = log x?

• x > 0

• x < 0

• x ≥ 0

• All real numbers

What is the range of the function y = log x?

• y > 0

• y < 0

• All real numbers

• y ≥ 0

Which of the following is the asymptote of the function y = log x?

• x = 0

• y = 0

• x = 1

• y = 1

Tags

CCSS.HSF-IF.C.7E

What transformation occurs if 'a' is negative in the logarithmic function y = a · log (x – h) + k?

• Vertical stretch

• Horizontal shift

• Reflection across the x-axis

• Vertical shift

What does 'h' represent in the transformed logarithmic function y = a · log (x – h) + k?

What is the effect of 'k' in the logarithmic function y = a · log (x – h) + k?

• Vertical stretch

• Horizontal shift

• Reflection across the x-axis

• Vertical shift

For the function y = log(x + 2) + 1, what is the vertical asymptote?

• A) x = -2

• B) x = -1

• C) x = 1

• D) x = 2

Tags

CCSS.HSF-IF.C.7E

What is the domain of the function y = log(x - 1) + 3?

• A) x > 1

• B) x > -1

• C) x < 1

• D) x < -1

Identify the range of the function y = log(x + 5) - 5.

• A) y > -5

• B) y < -5

• C) y > 5

• D) y < 5

For the function y = log (x + 6) + 4, what transformation has been applied to the base logarithmic function?

• A) Shifted 6 units to the left and 4 units up

• B) Shifted 6 units to the right and 4 units up

• C) Shifted 6 units to the left and 4 units down

• D) Shifted 6 units to the right and 4 units down