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Algebra 2 Test 2 Review
1. Describe the features of the graph below:
Type of Function: exponential
Increasing or Decreasing: decreasing
Horizontal Asymptote: y=4
Domain: all real numbers
Range:y less than or = 4
Average rate of change from x = 0 to x = 2
2. Describe all the transformations of the function f(x) = 2x to
g(x) = -3 ∙ (2)x + 5 + 6.
flip stretch left 5 up 6
3. Write the equation of g(x) if f(x) = 3x is shifted to the right 8
units, down 4 units, and is compressed.
.5(3)^x-8-4
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pf5

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Algebra 2 Test 2 Review

  1. Describe the features of the graph below: Type of Function: exponential Increasing or Decreasing: decreasing Horizontal Asymptote: y= Domain: all real numbers Range:y less than or = 4 Average rate of change from x = 0 to x = 2
  2. Describe all the transformations of the function f(x) = 2 x to g(x) = -3 ∙ (2) x + 5 + 6. flip stretch left 5 up 6
  3. Write the equation of g(x) if f(x) = 3 x is shifted to the right 8 units, down 4 units, and is compressed. .5(3)^x-8-
  1. What is the range of the function: y = (5) x + 2 - 8
  2. What is the equation of the horizontal asymptote given y = - 2 ∙ (3) x – 4 + 6
  3. What is the decay rate given the model: f(x) = 150(0.35) x
  4. What is the growth rate given the model: g(x) = 300(1.025) x
  5. Scenario: Cindi bought a car in 2020 for $25,000 and it depreciates by 6% each year. Let “x” represent time in years. a. Write the exponential model for the scenario. 25000(.94)x b. What is the value of her car in the year 2028? 15239. c. In what year will the value reach $5,000? 2026
  1. Write the model for an IRA account that is tripling every 6 years if the initial amount is $2000 over “t” years.

The accompanying table shows the average salary of baseball players since 1984. a. Determine/write the exponential regression model for this relationship rounding all values to the nearest hundredth. b. Using your model, what is the predicted salary for a baseball player in 2000? c. Using your model, in what year would a player earn 2, thousand?

d. Would a linear regression model be a better model to choose over the exponential model? Why or why not?