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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
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 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for f(x)=x2−4x−5, then find the vertex.
  1. Vertex: (2,−9)
  2. Vertex: (-2,9)
  3. Vertex: (2,−1)
  4. Vertex: (2, 5)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Convert the quadratic function f(x)=x2+10x+24 into vertex form, and find the minimum value.
  1. Minimum value: −4
  2. Minimum value: 1
  3. Minimum value: −1
  4. Minimum value: −1.5
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite the quadratic function f(x)=2x2+8x+5 in vertex form.
  1. 2(x+2)2+1
  2. 2(x-2)2-1
  3. 2(x+2)2-3
  4. 2(x-2)2+3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Find the maximum value of f(x)=−2x2+8x−3
  1. 5
  2. 6
  3. 7
  4. 8
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b
Simplify f(x)=(4x)(2-2x), and determine if it's growth or decay.
  1. Exponential growth
  2. Exponential decay
  3. Constant function
  4. Undefined function
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Identify the percent rate of change for the function f(t)=600(0.88)t.
  1. 12%, decay
  2. 8%, decay
  3. 88%, decay
  4. 0.88%, growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
An initial investment of $5,000 earns 6% interest compounded annually. What is the function to model the investment after t years?
  1. A(t)=5000(1+0.06)t
  2. A(t)=5000(1-0.06)t
  3. A(t)=5000(1+0.6)t
  4. A(t)=5000(0.06)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which of the following functions represents a 8% growth per unit time?
  1. y=(0.92)t
  2. y=(1.08)t
  3. y=(0.08)t
  4. y=(1.8)t
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

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

Using the information given, which of the following functions has the correct values for the constants Ta,T0,k?
  1. T(t)=210+135e-0.34t
  2. T(t)=75+135e-0.075t
  3. T(t)=75+210e-0.19t
  4. T(t)=75+35e0.26t
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2−6x+8 then find the zeros.
  1. Zeros:x=2,4
  2. Zeros:x=4,4
  3. Zeros:x=2,3
  4. Zeros:x=-2,-4
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for the function f(x)=x2+4x+1and find the vertex.
  1. Vertex:(−2,−3)
  2. Vertex:(2,1)
  3. Vertex:(−2,−1)
  4. Vertex:(0,1)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2+2x−3 and find the zeros.
  1. Zeros: -1,−3
  2. Zeros: -3, 1
  3. Zeros: 1, 3
  4. Zeros: 1,−2
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square to convert f(x)=x2+4x+1 into vertex form, and find the vertex.
  1. Vertex: (−2,−3)
  2. Vertex: (2,−3)
  3. Vertex: (−2,3)
  4. Vertex: (0,1)
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