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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 Functions and Relations CCSS: HSF-IF.C.7e
If a radioactive substance has a half-life of 5 years, what is the decay factor (b)?
  1. [math]5[/math]
  2. [math]1/5[/math]
  3. [math]0.5^(1/5)[/math]
  4. [math]1/25[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
How can the exponential function be used to model chance events?
  1. By calculating the probability of an event occurring
  2. By modeling the rate of change of the number of successful events over time
  3. By modeling the total number of events over time
  4. By calculating the odds of an event occurring
Grade 11 Math CCSS: HSF-IF.C.7e
In an exponential growth equation, what does the base (b) represent?
  1. The initial value
  2. The growth factor
  3. The rate of change
  4. The final value
Grade 11 Math CCSS: HSF-IF.C.7e
Which function has a y-intercept of 7 and an exponential decay factor of 1/3?
  1. f(x) = 7(3)^x
  2. f(x) = 7(1/3)^x
  3. f(x) = 3(7)^x
  4. f(x) = 1/3(7)^x
Grade 11 Math CCSS: HSF-IF.C.7e
Which of the following functions represents exponential growth?
  1. f(x) = 2(-3)^x
  2. f(x) = 2(3)^x
  3. f(x) = 2(-0.5)^x
  4. f(x) = 2(0.5)^x
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the difference between simple interest and compound interest?
  1. Compound interest is calculated annually, while simple interest is calculated monthly.
  2. Simple interest is calculated on the original principal, while compound interest is calculated on the principal and accumulated interest.
  3. Simple interest is calculated on the original principal only, while compound interest is calculated on the principal and accumulated interest.
  4. Compound interest is calculated monthly, while simple interest is calculated annually.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the meaning of the rate of change in an exponential function?
  1. The amount of time it takes for the function to change
  2. The rate at which the function is growing or decaying
  3. The total change in the function
  4. The size of the function
Grade 11 Math CCSS: HSF-IF.C.7e
What is the end behavior of the function h(x) = 2(3)^x as x approaches infinity?
  1. y approaches 0
  2. y approaches infinity
  3. y approaches 2
  4. y approaches 3
Grade 11 Math CCSS: HSF-IF.C.7e
Which of the following functions represents exponential decay?
  1. f(x) = 4(3)^x
  2. f(x) = 4(-3)^x
  3. f(x) = 4(0.5)^x
  4. f(x) = 4(-0.5)^x
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
Which of these examples represents exponential decay?
  1. The number of views on a viral video increasing rapidly over time.
  2. The radioactivity of a substance decreasing over time.
  3. The population of a species growing in a limited environment.
  4. The number of people in a marathon increasing as more runners join.
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
What is the y-intercept of the exponential function f(x) = 5(0.4)^x?
  1. (0, -5)
  2. (0, 5)
  3. (0, 0.4)
  4. (0, -0.4)
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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