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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 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

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What is the end behavior of P(x)? Select how the function P behaves as x approaches negative infinity and as x approaches positive infinity.
P→-∞ P→+∞
x→-∞
x→+∞
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following is equivalent to the standard form of a quadratic function, y = ax^2 + bx + c?
  1. y = a(x - h)^2 + k
  2. y = a(x + h)^2 + k
  3. y = a(x - h) + k
  4. y = a(x + h) + k
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following is the y-intercept of the polynomial function f(x) = 2x^3 - x^2 + 4x - 3?
  1. (0, 0)
  2. (1, 2)
  3. (-3, 0)
  4. (0, -3)
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the inverse function of y = log(base 2)(x + 5)?
  1. y = 2^x - 5
  2. y = log(2)(x - 5)
  3. y = 2^(x+5)
  4. y = log(2)(x + 5)
Grade 11 Trigonometry CCSS: HSF-IF.C.7c
What is the domain of the inverse cosine function?
  1. all real numbers
  2. from -1 to 1
  3. only positive numbers
  4. from 0 to 1
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

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When graphing P(x), which of the following would be the best scale for the y-axis?
  1. -10, -9, ..., 9, 10
  2. -1,000, -900, ..., 900, 1,000
  3. -5,000, -4,500, ..., 4,500, 5000
  4. -10,000, -9,000, ...., 9,000, 10,000
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the axis of symmetry for the quadratic function f(x) = 4x^2 - 12x + 5?
  1. x = 2
  2. x = 3/2
  3. x = -3/2
  4. x = -2
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following polynomial functions has a degree of 2?
  1. f(x) = 4x^3 - 2x + 1
  2. g(x) = 5x^4 - x^2 + 3
  3. h(x) = -2x^2 + 7x + 4
  4. k(x) = 3x^5 - x^3 + 2x^2 - 1
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the relationship between logarithmic and exponential functions?
  1. They are not related
  2. Exponential functions are the inverse of logarithmic functions
  3. Logarithmic functions are the inverse of exponential functions
  4. Logarithmic and exponential functions are related because they are inverse functions of each other
Grade 11 Trigonometry CCSS: HSF-IF.C.7c
What is the value of the inverse sine function at 1?
  1. π/2
  2. π/2 or 3π/2
  3. 0
  4. undefined
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c
When graphing a polynomial function of degree 8, whose leading coefficient is -3, which of the following is correct?
  1. The function tends toward positive infinity as x approaches negative and positive infinity.
  2. The function tends toward negative infinity as x approaches negative and positive infinity.
  3. The function tends toward negative infinity as x approaches negative infinity, and the function tends toward positive infinity as x approaches positive infinity.
  4. The function tends toward positive infinity as x approaches negative infinity, and the function tends toward negative infinity as x approaches positive infinity.
Grade 9 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following statements is true for the quadratic function f(x) = -x^2 + 6x - 7?
  1. The function has a minimum value of -7.
  2. The function has a maximum value of 7.
  3. The function does not have a vertex.
  4. The function has a vertex at (3, -4).
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the square of the imaginary unit i?
  1. 0
  2. -1
  3. 1
  4. i
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following is the general form of an exponential function?
  1. y = mx + b
  2. y = ax^2 + bx + c
  3. y = ab^x
  4. y = a/x
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the value of log(base 2)16?
  1. 2
  2. 3
  3. 4
  4. 5
Grade 11 Trigonometry CCSS: HSF-IF.C.7c
What is the relationship between the inverse sine and sine functions?
  1. they are the same function
  2. they have the same range
  3. they have opposite domain and range
  4. they are perpendicular functions
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the y-intercept of the quadratic function f(x) = 2x^2 + 3x - 1?
  1. (0, 1)
  2. (1, -1)
  3. (-1, 0)
  4. (0, -1)
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