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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
Which of the following functions represents exponential grow?
  1. f(x)=(0.75)x
  2. f(x)=(1.15)x
  3. f(x)=2-x
  4. f(x)=e-x
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If f(x)=(32x)(9-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
Simplify the function f(x)=(3x)(9x2) and identify the rate of change.
  1. 100%, growth
  2. 50%, decay
  3. 100%, decay
  4. 50%, growth
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
What is the percent rate of change in the function y=(1.02)t6?
  1. 2% per 6 units of time
  2. 12% growth per unit of time
  3. 0.33% per unit of time
  4. 2% decay per unit of time
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify f(x)=(52)t⋅(25-t), and identify whether the function represents 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
Given the function y=(1.03)t, what is the percent rate of change?
  1. 3%, growth
  2. 3%, decay
  3. 0.3%, growth
  4. 0.03%, growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents a 3% decay per unit time?
  1. y=(1.03)t
  2. y=(0.97)t
  3. y=(0.03)t
  4. y=(1.3)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If the function y=(0.82)t models the depreciation of a car, what is the percent rate of change?
  1. 18%, decay
  2. 82%, decay
  3. 0.82%, decay
  4. 0.18%, decay
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
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