Graphing Exponential and Logarithm Functions with transformation

What is the basic formula for an exponential function?

Tags

CCSS.HSF.LE.A.2

• D=(∞,-∞)

  R=(0,∞)

• D=(0,∞)

  R=(-∞,∞)

• D=(0,∞)

  R=(∞,-∞)

• D=(-∞,∞)

  R=(0,∞)

• Domain: x > 1

  Range: All Real Numbers

• Domain: x > -1

  Range: All Real Numbers

• Domain: x > 2

  Range: All Real Numbers

• Domain: x > -2

  Range: All Real Numbers

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

Tags

CCSS.HSF.LE.A.2

What is the transformation?

• Horizontal Translation left 2
• Vertical Translation down 2
• None
• Reflection across the line y=0

Tags

CCSS.HSF.BF.B.3

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

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

Find the domain and range of the function:
g(x) = 4x² - 5

• D: (4, ∞)
  R: [5, ∞)
• D: (-∞, ∞)
  R: [5, ∞)
• D: (-∞, ∞)
  R: [-5, ∞)
• D: (-∞, ∞)
  R: (-∞, -5]

What is the equation of the asymptote?

• x = -3
• x=5
• y= -3
• y=5

Tags

CCSS.HSF-IF.C.7E

What is the range of this graph?

• All Real Numbers
• y > 1
• y > -1
• y > 5