Unit 5 Exponential and Log Functions

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -(3)2^(x+3) -6

• compress by 1/3, left 3, down 6
• compress by 1/3, reflects over x, up 3, left 6
• stretch by 3, reflects over y, right 3, down 6
• stretch by 3, reflects over x, left 3, down 6

What transformations to f(x) = 3^x  are needed to create the function
g(x) = -½(3)^x-6- 4

• reflect over y, 4 units up, vertical compress, right 6
• reflect over y, 4 units to the left, 6 units down, vertical compress by 1/2 
• reflect over the y-axis, vertical compress by 1/2, right 6, up 4
• reflect over x, vertical compress by 1/2, right 6, down 4

Where would the asymptote be for this function f(x) = log (x - 3)

• x = -3
• y = 3
• y = -3
• x = 3

What is the horizontal asymptote and what transformations have taken place?
y = 2^x+2 + 1

• y = 2
  right 2, up 1
• y = 1
  left 2, up 1
• y = 1
  right 2, up 1
• y = 2
  right 1, up 2

What is the domain of the exponential graph?

• (-∞,∞)
• (-2, ∞)
• (0,∞)
• (-∞,2)

What is the range of the exponential graph?

• (-∞,∞)
• (-2, ∞)
• (0,∞)
• (-∞,2)

Determine the transformations from the parent function

• left 1, reflected over x-axis
• up 1, reflected over y-axis
• right 1, reflected over x-axis
• left 1, reflected over y-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Logarithms and Exponentials are what?

• parallel
• perpendiular 
• inverses
• congurent

The exponential function and the logarithmic function do what on a graph?

• The are perpendicular
• They are paralell
• They reflect over the line y=x.
• There is nothing special .

Use the function,
f(x) = (3/2)^x.
Is the function INCREASING or DECREASING?

• Increasing
• Decreasing