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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
Given the function y=(1.015)12t, what is the annual percent rate of change?
  1. 1.5%, growth
  2. 15%, growth
  3. 18.15%, growth
  4. 21%, growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents a 15% growth per unit time?
  1. y=(0.85)t
  2. y=(1.15)t
  3. y=(0.15)t
  4. y=(2.15)t
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
An initial investment of $2,000 is placed in an account with 6% interest compounded annually. What is the function to model this investment after t years?
  1. A(t)=2000(1+0.06)t
  2. A(t)=2000(1-0.06)t
  3. A(t)=2000(0.06)-t
  4. A(t)=2000(1+0.6)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
The function y=(0.92)t represents what percent rate of change, and is it growth or decay?
  1. 8%, decay
  2. 8%, growth
  3. 92%, decay
  4. 92%, 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 percent rate of change.
  1. 9%, decay
  2. 300%, growth
  3. 200%, growth
  4. 100%, decay
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify the function f(x)=(2x)(4x) and determine the percent rate of change.
  1. f(x)=22x,100%growth
  2. f(x)=8x,700%growth
  3. f(x)=23x,100%growth
  4. f(x)=42x,400%growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify the function f(x)=(2x)(4-x2 and identify the rate of change.
  1. 25%, growth
  2. 75%, decay
  3. 25%, decay
  4. None of the above
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents exponential decay?
  1. y=(1.04)t
  2. y=(0.98)t
  3. y=(1.01)t
  4. y=(1.05)t
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify f(x)=(3x)(9x), and determine the rate of change.
  1. 9%, decay
  2. 900%, growth
  3. 1200%, growth
  4. 200%, growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
An investment of $5,000 earns 4% interest compounded quarterly. What is the function to model the value of the investment after t years?
  1. A(t)=5000(1+0.04)t
  2. A(t)=5000(1+0.044)4t
  3. A(t)=5000(1+0.0412)12t
  4. A(t)=5000(1+0.04)4
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify the function f(x)=(2x)(64-x2, and identify the rate of change.
  1. 200%, decay
  2. 100%, growth
  3. 50%, growth
  4. 100%, decay
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify the function g(x)=3x9x and determine if it represents growth or decay.
  1. g(x)=3-x,decay
  2. g(x)=13x,decay
  3. g(x)=32x,decay
  4. g(x)=19x,decay
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
An initial investment of $10,000 earns 8% interest compounded annually. What is the function to model the investment after t years?
  1. A(t)=10000(1+0.08)t
  2. A(t)=10000(1-0.08)t
  3. A(t)=10000(1+0.8)t
  4. A(t)=10000(0.08)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents a 1% decay per unit time?
  1. y=(1.01)t
  2. y=(0.99)t
  3. y=(0.01)t
  4. y=(1.1)t
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