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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 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify f(x)=(52)x(25-x), and identify if it's exponential growth or decay.
  1. Exponential growth
  2. Exponential decay
  3. Constant function
  4. Linear growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Rewrite f(x)=(4x)(8x), and identify whether the function represents growth or decay.
  1. Growth
  2. Decay
  3. Constant function
  4. None of the above
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
What is the percent rate of change in the function y=(0.98)t?
  1. 2%, decay
  2. 2%, growth
  3. 98%, growth
  4. 0.02%, decay
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents a 20% decay per unit time?
  1. y=(1.20)t
  2. y=(0.80)t
  3. y=(0.20)t
  4. y=(1.80)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which function represents exponential growth?
  1. y=(0.95)t
  2. y=(1.06)t
  3. y=(0.25)t
  4. y=(0.02)t
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
The function y=(1.15)t5 represents                               .
  1. 15% decay over 5 units of time
  2. 3% growth per unit of time
  3. 15% growth over 5 units of time
  4. 5% growth per unit of time
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify f(x)=(23)t(4-t)), and determine if the function represents 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
Rewrite f(x)=(4x)(8x), and identify whether the function represents growth or decay.
  1. Growth
  2. Decay
  3. Constant function
  4. None of the above
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If $5,000 is invested at 6% interest compounded monthly, what is the function to model the investment after t years?
  1. A(t)=5000(1+0.0612)12t
  2. A(t)=5000(1+0.06)t
  3. A(t)=5000(1+0.6)t
  4. A(t)=5000(1+0.062)2t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
An initial investment of $3,000 earns 4% interest compounded annually. What is the function to model the investment after t years?
  1. A(t)=3000(1+0.04)t
  2. A(t)=3000(1-0.04)t
  3. A(t)=3000(1+0.4)t
  4. A(t)=3000(0.04)t
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 »

Using the information given, which of the following functions has the correct values for the constants Ta,T0,k?
  1. T(t)=210+135e-0.34t
  2. T(t)=75+135e-0.075t
  3. T(t)=75+210e-0.19t
  4. T(t)=75+35e0.26t
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify f(x)=(3x)(9-x), and determine if it is growth or decay.
  1. Exponential growth
  2. Exponential decay
  3. Undefined function
  4. Constant function
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