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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
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
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify the function f(x)=(3x)(9x2, and determine the rate of change.
  1. 300%, growth
  2. 400%, growth
  3. 200%, growth
  4. 150%, decay
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If f(x)=(2x)(16-x, 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
An initial investment of $4,000 grows at a rate of 6% annually. What function models the value of the investment after t years?
  1. A(t)=4000(1−0.06)t
  2. A(t)=4000(1.06)t
  3. A(t)=4000(1.06)-t
  4. A(t)=4000(1−0.06)-t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If g(x)=(0.75)x, 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 function that represents 5% exponential growth per unit time.
  1. y=(1.05)t
  2. y=(0.95)t
  3. y=(1.50)t
  4. y=(0.05)t
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Rewrite f(x)=(16x)(2-4x), and identify the rate of change.
  1. 0%
  2. 100%, growth
  3. 25%, decay
  4. Constant function
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Account I offers 5% interest compounded annually, while Account II offers 5.1% interest compounded quarterly. Which account will grow faster?
  1. Account I
  2. Account II
  3. Both grow at the same rate
  4. Cannot be determined
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Given f(x)=16x(2-x, simplify the expression and determine if it represents exponential growth or decay.
  1. 25%, growth
  2. 25%, decay
  3. 100%, growth
  4. Constant function
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents a 5% growth per unit time?
  1. y=(0.95)t
  2. y=(1.05)t
  3. y=(0.05)t
  4. y=(1.5)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
An initial investment of $2,000 earns 3.5% interest compounded annually. What is the function to model the investment after t years?
  1. A(t)=2000(1+0.35)t
  2. A(t)=2000(1-0.35)t
  3. A(t)=2000(1+0.035)t
  4. A(t)=2000(0.035)t
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
If $5,000 is invested at 8% interest compounded semi-annually, what function models the investment after t years?
  1. A(t)=5000(1+0.08)2t
  2. A(t)=5000(1+0.082)2t
  3. A(t)=5000(1+0.04)2t
  4. A(t)=5000(1+0.08)t
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify f(x)=(2x)(8-x2), and find the percent rate of change.
  1. 50%, decay
  2. 75%, growth
  3. 0%
  4. Constant function
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
What is the percent rate of change for the function f(x)=200(1.09)t?
  1. 9%, growth
  2. 0.9%, growth
  3. 90%, growth
  4. 1.09%, growth
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