Graphs of Logarithmic Functions

Which function best describes the following graph?

• y = Log₂ X

• 2^x = y

• y = 1/(2x)

• (1/2)^x = y

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.4

What is the correct transformed equation for the graph?

• y = log(x - 4)

• y = log(x) - 4

• y = log(x + 4)

• y = log(x) + 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of the function graphed?

• (-∞, ∞)

• (-∞, 2] and [2, ∞)

• [2, ∞)

• (-∞, 2]

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

What is the equation of the asymptote on the graph of   $y=\log_5\left(x+3\right)+5$ ? 

• x = -3

• x=5

• y= -3

• y=5

Tags

CCSS.HSF.IF.C.7

Compared to the graph of  $f\left(x\right)=\log_2x$ , the asymptote on  $g\left(x\right)=\log_2\left(3x+12\right)$   will be translated...

• 12 units left to x = -12

• 12 units right to x = 12

• 4 units left to x = -4

• 4 units right to x = 4

• not at all and remain x = 0

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following has a vertical asymptote at $x=4$  

•  $y=2^x-4$  

•  $y=\log_2\left(x-4\right)$  

•  $y=2^x+4$  

•  $y=\log_2\left(x+4\right)$  

Tags

CCSS.HSF-IF.C.7E

Match the graph with its equation.

(If you move your mouse over the graph, the image will pop up larger.)

• y = log₅ (x + 1) + 1

• y = log₅ (x - 1) + 1

• y = log₅ (x²) + 1

• y = log₅ (x) - 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.4

What is the transformation of the logarithmic function
 $f\left(x\right)=\log\ \left(x+3\right)-1$  

• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which graph matches the equation

• 
• 
• 
• 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7