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Common Core Standard HSF-IF.C.8b Questions

Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.

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Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
if g(x)=3-x3, what type of change does the function represent?
  1. Exponential growth
  2. Exponential decay
  3. Constant
  4. Linear growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify the function f(x)=(5x)(125-x3) and identify the rate of change.
  1. 50%, growth
  2. 100%, decay
  3. 50%, decay
  4. None of the above
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

This question is a part of a group with common instructions. View group »

Why are the numbers for the percent rate of change calculated in the previous two questions not the same?
  1. Because the calculations didn't use exact numbers, and therefore there are rounding errors.
  2. Because the function has an added constant (it is not of the form abx).
  3. Because the percent rate of change calculated from the different form of the function, T(t)=a⋅bt+c, is a general rate of change, which is not the same as the specific rate of change from t=1 to t=2.
  4. Because an exponential function is not constant, therefore its percent rate of change shouldn't be constant.
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify f(x)=(4x)(2-2x), and determine if it's growth or decay.
  1. Exponential growth
  2. Exponential decay
  3. Constant function
  4. Undefined function
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Identify the percent rate of change for the function f(t)=600(0.88)t.
  1. 12%, decay
  2. 8%, decay
  3. 88%, decay
  4. 0.88%, growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
An initial investment of $5,000 earns 6% interest compounded annually. What is the function to model the investment after t years?
  1. A(t)=5000(1+0.06)t
  2. A(t)=5000(1-0.06)t
  3. A(t)=5000(1+0.6)t
  4. A(t)=5000(0.06)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents a 8% growth per unit time?
  1. y=(0.92)t
  2. y=(1.08)t
  3. y=(0.08)t
  4. y=(1.8)t
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
The function y=(1.12)t4 represents what percent growth per time period?
  1. 12% growth
  2. 3% growth
  3. 4% growth
  4. 1.12% growth
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
The function y=(0.92)t represents__.
  1. 8% decay
  2. 8% growth
  3. 0.92% decay
  4. 92% decay
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which function represents an exponential decay?
  1. y=(0.95)t
  2. y=(1.06)t
  3. y=(1.25)t
  4. y=(1.02)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents a 10% decay per unit time?
  1. y=(1.10)t
  2. y=(0.90)t
  3. y=(0.10)t
  4. y=(1.01)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If f(x)=(14)2x, what type of change does the function represent?
  1. Exponential growth
  2. Exponential decay
  3. Constant
  4. Linear growth
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Identify the percent rate of change for the function y=(1.05)t
  1. 0.5% growth
  2. 5% decay
  3. 5% growth
  4. 10% growth
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