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Common Core Standard HSF-IF.C.7e Questions

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

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Grade 11 Math CCSS: HSF-IF.C.7e
Which function has a reflection across the x-axis?
  1. f(x) = 5(2)^x
  2. f(x) = -5(2)^x
  3. f(x) = 5(-2)^x
  4. f(x) = -5(-2)^x
Grade 11 Math CCSS: HSF-IF.C.7e
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
How does the frequency of compounding affect compound interest?
  1. Compounding frequency has no effect on compound interest.
  2. The higher the compounding frequency, the lower the compound interest.
  3. The lower the compounding frequency, the higher the compound interest.
  4. The higher the compounding frequency, the higher the compound interest.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the relationship between the growth rate and the time in an exponential function?
  1. The growth rate is proportional to the time
  2. The growth rate is proportional to the exponential of the time
  3. The growth rate is inversely proportional to the time
  4. The growth rate is proportional to the logarithm of the time
Grade 11 Math CCSS: HSF-IF.C.7e
What is the formula for calculating compound interest?
  1. Principal * Rate * Time
  2. Principal * (1 + Rate/n)^(nt)
  3. Principal / (1 + Rate/n)^(nt)
  4. Principal * Rate^Time
Grade 11 Math CCSS: HSF-IF.C.7e
What transformation does the function f(x) = 3(2)^(x - 1) represent?
  1. Vertical shift up 1 unit
  2. Vertical shift down 1 unit
  3. Horizontal shift right 1 unit
  4. Horizontal shift left 1 unit
Grade 11 Math CCSS: HSF-IF.C.7e
Which of the following is a real-world example of exponential growth?
  1. Depreciation of a car's value
  2. Radioactive decay
  3. Compound interest on a bank account
  4. Cooling of a hot object
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the rule of 72 for investment returns?
  1. The rule of 72 states that an investment will double in value in 72 years.
  2. The rule of 72 states that the number of years it takes for an investment to double in value can be estimated by dividing 72 by the annual rate of return.
  3. The rule of 72 states that an investment will grow by 72% in a year.
  4. The rule of 72 states that an investment will triple in value in 72 years.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
How does the rate of change in an exponential function affect the shape of the graph?
  1. The faster the rate of change, the flatter the graph
  2. The slower the rate of change, the flatter the graph
  3. The faster the rate of change, the steeper the graph
  4. The slower the rate of change, the steeper the graph
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