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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
What is the complex conjugate of the complex number 2 + 3i?
  1. 2 - 3i
  2. 2 + 3i
  3. -2 + 3i
  4. -2 - 3i
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
If the initial value of an exponential function is 2 and the growth factor is 3, what is the exponential function?
  1. y = 2x^3
  2. y = 2(3)^x
  3. y = 3x^2 + 2
  4. y = 2/3x
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the domain of the function y = e^x?
  1. (−∞, 0)
  2. (0, ∞)
  3. (−∞, 0] ∪ [0, ∞)
  4. (−∞, ∞)
Grade 11 Trigonometry CCSS: HSF-IF.C.7c
What is the inverse of the tangent function?
  1. cosine
  2. tangent
  3. arctangent
  4. cosecant
Grade 9 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following is the correct vertex form of the quadratic function y = -2x^2 + 8x + 3?
  1. y = -2(x + 2)^2 + 3
  2. y = -2(x - 2)^2 + 11
  3. y = 2(x + 2)^2 + 3
  4. y = 2(x - 2)^2 + 11
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the product of (3 - i) and (3 + i)?
  1. 8 + 9i
  2. 8 - 9i
  3. 10
  4. 6 + 5i
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the inverse of the exponential function y = 2^x?
  1. y = 2x
  2. y = log2(x)
  3. y = e^x
  4. y = ln(x)
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the inverse function of y = ln(x + 3)?
  1. y = e^(x + 3)
  2. y = ln(x) + 3
  3. y = e^x - 3
  4. y = ln(x - 3)
Grade 11 Trigonometry CCSS: HSF-IF.C.7c
What is the domain of the inverse tangent function?
  1. all real numbers
  2. from negative infinity to positive infinity
  3. only positive numbers
  4. from -1 to 1
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following methods can be used to solve a quadratic equation?
  1. Substitution
  2. Addition
  3. Factoring
  4. All of the above
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the maximum or minimum value of the quadratic function f(x) = -3x^2 + 6x + 1?
  1. Maximum value of 2/3
  2. Minimum value of -2/3
  3. Maximum value of 7/3
  4. Minimum value of -7/3
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the real part of the complex number 4 - 2i?
  1. 4
  2. -2
  3. 2
  4. -4
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which of the following best describes the behavior of an exponential function as x approaches negative infinity?
  1. The function approaches 0
  2. The function approaches infinity
  3. The function approaches 0 but is undefined for negative values of x
  4. The function approaches 1
Grade 11 Trigonometry CCSS: HSF-IF.C.7c
What is the range of the inverse secant function?
  1. all real numbers
  2. only positive numbers
  3. from 0 to π/2 and from π/2 to π
  4. from 0 to π
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the quadratic formula used for?
  1. Finding the slope of a line
  2. Solving linear equations
  3. Solving quadratic equations
  4. Factoring polynomials
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the standard form of the quadratic function that has a vertex at (5, -2) and a y-intercept of 1?
  1. y = (x - 5)^2 - 2
  2. y = a(x - 5)^2 - 2
  3. y = (x + 5)^2 - 2
  4. y = a(x + 5)^2 - 2
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the magnitude of the complex number 4 - 3i?
  1. 25
  2. 7
  3. 5
  4. 3
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