Unit 4A Review

Which function's graph will have a y-intercept of 10?

• y = 3^x + 10

• y = 10^x

• y = 5(2)^x

• y = .5(8)^x + 9.5

Tags

CCSS.HSF-IF.C.7E

What could the equation of the exponential function in the graph be?

• y = (4/5)^x

• y = 4(4/5)^x

• y = 4(2)^x

• y = 4(5/4)^x

Tags

CCSS.HSF.LE.A.2

How will the graph of the function f(x) = (1/3)^x transform when the function is changed to f(x) = 5(1/3)^x + 4?

• Vertical compression by 5, shifted up 4

• Vertical stretch by 5, shifted up 4

• Vertical stretch by 5, shifted right 4

• Vertical compression by 5, shifted down 4

Tags

CCSS.HSF.BF.B.3

What will the range of f(x) = 2^x - 3 be when the domain is {-1,0,6}?

• {-2.5, -2, 61}

• {-5, -2, 61}

• {-5, -3, 61}

• {-2.5, -3, 61}

The function y = 5^x has been reflected over the x-axis, compressed by 1/2, and shifted up 10. What is the equation of this function after the transformations?

• y = 1/2(5)^x + 10

• y = -1/2(5)^x + 10

• y = -2(5)^x + 10

• y = -2(5)^x - 10

Tags

CCSS.HSF.BF.B.3

The exponential function in the graph has an asymptote at y = 1. What is the end behavior of this function?

• As x decreases, y approaches but never touches 1

  As x increases, y increases

• As x decreases, y increases

  As x increases, approaches but never touches 1

• As x decreases, y decreases

  As x increases, y increases

• As x decreases, y increases

  As x increases, y decreases

Tags

CCSS.HSF-IF.C.7E

What could the equation of the exponential function in the graph be?

• y = 3^x

• y = -(3)^x

• y = (1/3)^x

• y = -(1/3)^x

• y = 3^-x

Tags

CCSS.HSF.LE.A.2

The population of a new city x years after it was founded can be modeled by the exponential function in the graph.

What does the population appear to be 8 years after the city was founded?

• About 8,000 people

• A little more than 80,000 people

• About 6,000 people

• About 2,000 people

Tags

CCSS.HSF.LE.B.5

The population of a new city x years after it was founded can be modeled by the exponential function in the graph.

What does the y-intercept of (0,1000) represent?

• The initial population of the city was 1,000 people

• After 1,000 years, the population will be 0

• It will take 1,000 days for the population to double

• That there were 0 people when the city was founded

Tags

CCSS.HSF.LE.B.5

The population of a new city x years after it was founded can be modeled by the exponential function in the graph.

What would the domain and range of this scenario be?

• D: All positive numbers

  Range: All real numbers

• D & R: All real numbers

• D: [0, infinity)

  R: [1000, infinity)

• D: All real numbers

  R: [0,1000]