Graph logarithmic functions

Answer Key - Grade 11 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Milo moves the graph of y = log₂ x to get y = log₂ (x − 7). What is the vertical asymptote of y = log₂ (x − 7)?

   • x = -7
   • y = 0
   • x = 7
   • x = 0
2. 2.

   Pia moves the graph of y = log₃ x to get y = log₃ (x − 1). What is the vertical asymptote of y = log₃ (x − 1)?

   • y = 0
   • x = 0
   • x = 1
   • x = -1
3. 3.

   Ren moves the graph of y = log₂ x to get y = log₂ (x + 2). What is the domain of y = log₂ (x + 2)?

   • x > -2
   • x > 2
   • x ≥ -2
   • x > 0
4. 4.

   Tala moves the graph of y = log₄ x to get y = log₄ (x − 5). What is the domain of y = log₄ (x − 5)?

   • x ≥ 5
   • x > -5
   • x > 5
   • x > 0
5. 5.

   Zee moves the graph of y = ln x to get y = ln (x − 6). What is the domain of y = ln (x − 6)?

   • x > 6
   • x ≥ 6
   • x > 0
   • x > -6
6. 6.

   Ari graphs y = log₂ (x − 11). At what value of x does the graph cross the x-axis?

   12
7. 7.

   Bo graphs y = log₄ (x + 2). At what value of x does the graph cross the x-axis?

   -1
8. 8.

   Esme graphs y = log₉ x − 3/2. At what value of x does the graph cross the x-axis?

   27
9. 9.

   Kira reads the graph of y = log₂ (x − 3). What is y when x = 7?

   2
10. 10.

    Luz reads the graph of y = log₂ (x − 8). What is y when x = 24?

    4