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Common Core Standard HSF-IF.C.8 Questions

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

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Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions models an account that grows at 3% interest compounded quarterly with an initial investment of $1,000?
  1. A(t)=1000(1+0.03)4t
  2. A(t)=1000(1+0.0075)4t
  3. A(t)=1000(1+0.034)t
  4. A(t)=1000(1.03)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Identify the function that represents 3% exponential decay per unit time.
  1. y=(1.03)t
  2. y=(0.97)t
  3. y=(1.50)t
  4. y=(0.03)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify f(x)=(4x)(2x), and determine the growth rate.
  1. 16%, growth
  2. 400%, growth
  3. 200%, growth
  4. 100%, decay
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
The value of a car depreciates by 15% each year. If the initial value of the car is 'V', which function represents the value of the car after 't' years?
  1. V(t)=V(0.15)t
  2. V(t)=V(0.85)t
  3. V(t)=V(1.15)t
  4. V(t)=V(1.85)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
An initial investment of $12,000 earns 4.5% interest compounded annually. What is the function to model the investment after t years?
  1. A(t)=12000(1+0.45)t
  2. A(t)=12000(1-0.45)t
  3. A(t)=12000(1+0.045)t
  4. A(t)=12000(0.045)t
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
An initial investment of $4,500 grows with 5% interest compounded semi-annually. What is the function to model the investment after t years?
  1. A(t)=4500(1+0.052)2t
  2. A(t)=4500(1-0.052)2t
  3. A(t)=4500(1+0.052)t
  4. A(t)=4500(1-0.052)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
An investment account grows at 8% interest compounded annually. What function represents the total value of the investment after t years if the initial investment is $3,000?
  1. A(t)=3000(1+0.08)t
  2. A(t)=3000(1.08)t
  3. A(t)=3000(1-0.08)t
  4. Both A and B
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