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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 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)
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
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