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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
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 Functions and Relations CCSS: HSF-IF.C.7e
What is the relationship between chance events and exponential growth?
  1. Linear
  2. Logarithmic
  3. Exponential
  4. Polynomial
Grade 11 Math CCSS: HSF-IF.C.7e
Which of the following is an example of exponential growth?
  1. The height of a tree increasing by 2 feet every year.
  2. The number of bacteria in a culture doubling every hour.
  3. The price of a car decreasing by $1,000 every year.
  4. The distance traveled by a car increasing by 50 miles every hour.
Grade 11 Math CCSS: HSF-IF.C.7e
What is the impact of inflation on investment returns?
  1. Inflation has no impact on investment returns.
  2. Inflation increases investment returns.
  3. Inflation reduces the purchasing power of investment returns.
  4. Inflation has no effect on the nominal value of investment returns, but reduces the real value.
Grade 11 Math CCSS: HSF-IF.C.7e
The function g(x) = (1/3) * 2^x is a transformation of the function f(x) = 2^x. What kind of transformation is this?
  1. Vertical shift
  2. Horizontal shift
  3. Vertical compression
  4. Horizontal compression
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the formula for continuous exponential growth?
  1. y=abx
  2. y=a(1+r)x
  3. y=aerx
  4. y=a(1-r)x
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What type of function models exponential growth?
  1. Linear function
  2. Logarithmic function
  3. Power function
  4. Exponential function
Grade 11 Math CCSS: HSF-IF.C.7e
What is the primary difference between exponential growth and exponential decay?
  1. Exponential growth is an increase at a constant rate, while exponential decay is a decrease at a constant rate.
  2. Exponential growth is a decrease at a constant rate, while exponential decay is an increase at a constant rate.
  3. Exponential growth involves multiplication, while exponential decay involves division.
  4. Exponential growth and exponential decay are the same thing.
Grade 11 Math CCSS: HSF-IF.C.7e
What transformation occurs when the function f(x) = 5^x is changed to g(x) = 5^x - 2?
  1. Vertical shift 2 units up
  2. Vertical shift 2 units down
  3. Horizontal shift 2 units right
  4. Horizontal shift 2 units left
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
If a population of bacteria doubles every 3 hours, what is the growth factor (b)?
  1. 2
  2. 3
  3. 213
  4. 312
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the formula for the exponential function?
  1. y=abx
  2. y=a+bx
  3. y=a-bx
  4. y=abx
Grade 11 Math CCSS: HSF-IF.C.7e
What does the term "half-life" represent in exponential decay?
  1. The time it takes for a quantity to double.
  2. The time it takes for a quantity to reach half of its initial value.
  3. The time it takes for a quantity to decrease to half of its initial value.
  4. The time it takes for a quantity to increase by half of its initial value.
Grade 11 Math CCSS: HSF-IF.C.7e
Which of the following represents the graph of the function f(x) = 3^x after a horizontal shift 2 units right?
  1. g(x) = 3^(x - 2)
  2. g(x) = 3^(x + 2)
  3. g(x) = 3^x - 2
  4. g(x) = 3^x + 2
Grade 11 Functions and Relations 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 Functions and Relations CCSS: HSF-IF.C.7e
What is the difference between exponential growth and exponential decay?
  1. Exponential growth increases while exponential decay decreases
  2. Exponential growth occurs when the rate of change is proportional to the size of the function, while exponential decay occurs when the rate of change is proportional to the size of the function with a negative sign
  3. Exponential growth occurs when the rate of change is constant, while exponential decay occurs when the rate of change is not constant
  4. There is no difference between exponential growth and exponential decay
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