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Common Core Standard HSF-IF.C.7c Questions

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

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Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following is a quadratic equation in standard form?
  1. y = 2x + 3
  2. y = x^3 - 4x^2 + 5x - 1
  3. y = 2x^2 - 4x
  4. y = sqrt(x)
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
A rectangular garden has a perimeter of 72 meters. If the length of the garden is 4 meters longer than its width, what are the dimensions of the garden?
  1. 10 meters by 26 meters
  2. 12 meters by 24 meters
  3. 14 meters by 22 meters
  4. 16 meters by 20 meters
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following transformations will stretch an exponential function vertically?
  1. Multiplying the function by a constant greater than 1.
  2. Adding a constant to the function.
  3. Subtracting a constant from the function.
  4. Dividing the function by a constant greater than 1.
Grade 10 Trigonometry CCSS: HSF-IF.C.7c
What is the period of the function y = sin(3x)?
  1. 2π/3
  2. π/3
  3. 2π
  4. 2π/9
Grade 11 Functions and Relations CCSS: HSF-IF.C.7c
Which of the following statements about the composition of functions is true?
  1. The composition of two functions is always a function.
  2. The composition of two inverse functions is always the identity function.
  3. The composition of two functions is commutative.
  4. The composition of two functions is always a linear function.
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which method of solving quadratic equations is used when the equation is not factorable?
  1. Factoring
  2. Completing the square
  3. Quadratic formula
  4. All of the above
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the end behavior of the polynomial function f(x) = -2x^5 + 4x^3 - 3x + 1?
  1. As x approaches infinity, f(x) approaches infinity; as x approaches negative infinity, f(x) approaches negative infinity.
  2. As x approaches infinity, f(x) approaches negative infinity; as x approaches negative infinity, f(x) approaches negative infinity.
  3. As x approaches infinity, f(x) approaches negative infinity; as x approaches negative infinity, f(x) approaches infinity.
  4. As x approaches infinity, f(x) approaches infinity; as x approaches negative infinity, f(x) approaches infinity.
Grade 10 Trigonometry CCSS: HSF-IF.C.7c
What is the range of the function y = cos(x)?
  1. [-1, 1]
  2. [0, 1]
  3. [0, ∞)
  4. (-∞, ∞)
Grade 11 Functions and Relations CCSS: HSF-IF.C.7c
What is the inverse of the function f(x)=ex-1?
  1. f-1(x)=ln(x+1)
  2. f-1(x)=ln(x-1)
  3. f-1(x)=ex+1
  4. f-1(x)=ex-1
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the "zero product property"?
  1. A property of multiplication that states that any number times zero is zero
  2. A property of addition that states that the sum of any two numbers is the same, regardless of the order in which they are added
  3. A property of subtraction that states that the difference between any two numbers is the same, regardless of the order in which they are subtracted
  4. A property of factoring that states that if ab = 0, then either a = 0 or b = 0
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the inverse function of y = 2^x?
  1. y = log(2)x
  2. y = log(2)⁻¹x
  3. y = ln(2)x
  4. y = log(10)2^x
Grade 10 Trigonometry CCSS: HSF-IF.C.7c
Which of the following identities is true for all values of θ?
  1. sin(θ + π/2) = cos(θ)
  2. cos(θ + π/2) = tan(θ)
  3. tan(θ + π/2) = -cot(θ)
  4. cot(θ + π/2) = -tan(θ)
Grade 11 Functions and Relations CCSS: HSF-IF.C.7c
Which of the following functions is its own inverse?
  1. f(x)=x2
  2. f(x)=x2
  3. f(x)=-x
  4. f(x)=1x
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

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

Using polynomial long division, find the resulting polynomial if -8 is a zero of the function.
  1. x4+7x3-37x2-255x-548
  2. x4-9x3-21x2+209x-180
  3. x4-9x3-21x2-127x+2508
  4. x4+7x3-149x2+1233x-8354
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