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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 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic: f(x)=x2+5x−24
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=−x2+4x−3, identify the maximum value.
  1. Maximum value: 4
  2. Maximum value: 2
  3. Maximum value: 3
  4. Maximum value: 1
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 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

This question is a part of a group with common instructions. View group »

What facts about the golf ball's trajectory can be determined directly from the vertex form? Choose all that apply.
  1. The amount of time it was in the air for.
  2. Its maximum height.
  3. At what distance the maximum height occurred.
  4. At what time the maximum height occurred.
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the function f(x)=4x2+16x+64.
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Identify the x-intercepts of the function f(x)=x2−7x+10.
  1. X-intercepts: -2,-5
  2. X-intercepts: 2,5
  3. X-intercepts: 1,6
  4. X-intercepts: 0,7
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite f(x)=-x2+4x-5 in vertex form and identify the maximum point.
  1. Maximum: (2, -1)
  2. Maximum: (2, 1)
  3. Maximum: (2, 3)
  4. Maximum: (2, -3)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=x2+6x+8, and find the zeros.
  1. Zeros: x=−2,−4
  2. Zeros: x=2,4
  3. Zeros: x=−1,−8
  4. Zeros: x=1,3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square and find the vertex of the function f(x)=x2+4x−5.
  1. (−2,−9)
  2. (2,−1)
  3. (−2,−1)
  4. (2, 9)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for f(x)=x2+6x+5 and find the vertex.
  1. (3,−4)
  2. (-3,−1)
  3. (-3,−4)
  4. (-3,−2)
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
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