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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
How many solutions does a quadratic equation have?
  1. 0
  2. 1
  3. 2
  4. It depends on the coefficients and the discriminant of the equation
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following is NOT a polynomial function?
  1. f(x) = x^2 + 3x - 2
  2. g(x) = 4x^3 - 5x^2 + 2x - 1
  3. h(x) = (x + 1)/(x - 2)
  4. k(x) = 7x^5 - 2x^3 + 6x^2 + 1
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following is the formula for continuously compounded interest?
  1. A = P(1 + r/n)^nt
  2. A = P(1 + r)^t
  3. A = Pe^(rt)
  4. A = Pe^rt/100
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 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
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
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 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c
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