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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 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If f(x)=(-2)(4x), what type of change does the function represent?
  1. Exponential growth
  2. Exponential decay
  3. Constant
  4. Linear growth
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=-x2-4x+32 then find the zeros.
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Determine the zeros of the quadratic function f(x)=x2−16.
  1. Zeros:x=±4
  2. Zeros:x=±8
  3. Zeros:x=0,4
  4. Zeros:x=-4,16
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=3x2−9x+6, and find the zeros.
  1. Zeros: x=1,3
  2. Zeros: x=−1,3
  3. Zeros: x=1,2
  4. Zeros: x=0,2
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents exponential growth?
  1. y=(0.96)t
  2. y=(1.01)10t
  3. y=(0.85)t2
  4. y=(0.93)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify the function f(x)=(2x)(4x), and determine the rate of change.
  1. 200%, growth
  2. 100%, growth
  3. 700%, growth
  4. 150%, decay
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If the function y=(1.03)t models population growth, what is the percent rate of change?
  1. 1.03%, growth
  2. 3%, growth
  3. 0.3%, growth
  4. 0.03%, growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
if g(x)=3-x3, 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)=(5x)(125-x3) and identify the rate of change.
  1. 50%, growth
  2. 100%, decay
  3. 50%, decay
  4. None of the above
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