Review for Exponential and Logarithmic Functions Test

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Tags

CCSS.HSF-IF.C.7E

What is the asymptote of y = log₂(x - 3) ?

• y = 0

• y = 3

• x = 0

• x = 3

Tags

CCSS.HSF-IF.C.7E

What is the y-intercept of the function $f\left(x\right)=3\left(4\right)^x-2$  ?

• (0,-2)

• (0.3)

• (0,1)

• (0,4)

Tags

CCSS.HSF-IF.C.7E

What is the domain and range of
f(x) = log ₃ (x + 1)?

• D: (− ∞, ∞) R: (−1, ∞)
• D: (− ∞, ∞) R: (1, ∞)
• D: (−1, ∞) R: (− ∞, ∞)
• D: (1, ∞) R: (− ∞, ∞)

Which of the following best describes the end behavior of the function $y=2^{x-4}+5$  ?

•  $x\ \rightarrow\ -\infty,\ y\ \rightarrow\ 0\$  
   $x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty$  
  

•  $x\ \rightarrow\ -\infty,\ y\ \rightarrow\ 5$  
   $x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty$  
  

•  $x\ \rightarrow\ -\infty,\ y\ \rightarrow\ \infty$  
   $x\ \rightarrow\ \infty,\ y\ \rightarrow\ 0$  
  

•  $x\ \rightarrow\ -\infty,\ y\ \rightarrow\ \infty$  
   $x\ \rightarrow\ \infty,\ y\ \rightarrow\ 5$  
  

Tags

CCSS.HSF-IF.C.7E

Solve: 9^8-x = 27^x-3

• 5
• -5
• 1/5
• -1/5

2 * 4^{3x – 6} – 8 = 120

• x = 3
• x = 4
• x = 2.9
• x = 8

Tags

CCSS.7.EE.B.4A

Solve the equation:

  $32^{\left(-3x+1\right)}=\left(\frac{1}{4}\right)^{5x}$  

• 1

•  $\frac{1}{8}$  

• 5

•  $\frac{1}{5}$  

Solve the equation:

  $4^{2x\ }=\ 7$  

• 0

• 1.311

• .364

• .702

Tags

CCSS.HSF.LE.A.4

Solve:

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Tags

CCSS.HSF.BF.B.5