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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
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
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If h(x)=()(1.5)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
Simplify f(x)=(32)x(3-x), and determine if this represents growth or decay.
  1. Constant function
  2. Exponential decay
  3. Exponential growth
  4. Undefined function
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Rewrite f(x)=(32x)(2-2x, and determine the rate of change.
  1. 100%, decay
  2. 25%, decay
  3. 50%, growth
  4. Constant function
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
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
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