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Twelfth Grade (Grade 12) Function and Algebra Concepts Questions

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Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
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-h) + k
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the solution to the equation 2log(x) = 4log(2)?
  1. x = 4
  2. x = 2
  3. x = 8
  4. x = 16
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the range of the function f(x) = ln(x)?
  1. (-∞,0)
  2. (-∞,∞)
  3. [0,∞)
  4. (0,∞)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the domain of the function f(x) = log(base 3) (x-2)?
  1. (-∞, 2)
  2. [2, ∞)
  3. (2, ∞)
  4. (-∞, ∞)
Grade 12 Function and Algebra Concepts
Which of the following is not an exponential function?
  1. y = 5(3)^x
  2. y = (2/3)^x
  3. y = e^x
  4. y = x^3 + 1
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following statements is true regarding the logarithmic function f(x) = log base b (x)?
  1. It is an even function
  2. It is an odd function
  3. It is neither an even nor an odd function
  4. It can be both an even and an odd function, depending on the value of b
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following is the inverse function of the exponential function f(x) = 3^x?
  1. f^-1(x) = log base 3 (x)
  2. f^-1(x) = log base 3 (x)/log base 3 (e)
  3. f^-1(x) = log base e (x)
  4. f^-1(x) = e^x
Grade 12 Matrices CCSS: HSN-VM.C.8
Add. [49-6-308225]+[-10265-7-8212-5]
  1. [-61102-704140]
  2. [1411128-71641410]
  3. [-147-12-87160-1010]
  4. [-6112-7414]
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor. x2+64
  1. (x+8i)(x-8i)
  2. (x-8)(x+8)
  3. ±√64
  4. (x+64i)(x-64i)
Grade 12 Matrices CCSS: HSN-VM.C.10
The 5x5 identity matrix of looks like which of the following?
  1. [1000001000001000001000001]
  2. [0000100010001000100010000]
  3. [0010000100111110010000100]
  4. A and B
Grade 12 Matrices CCSS: HSN-VM.C.11
The matrix [123456789] multiplied by the vector 〈1,2,3〉 equals which of the following?
  1. [1494101871627]
  2. [143250]
  3. [123054]
  4. [12381012212427]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [2980341113] is multiplied by the scalar 3, what is the result?
  1. [233830143131131]
  2. [60327933241612]
  3. [512113674147]
  4. [6272409123339]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [689102362] is multiplied by the scalar 3, what is the result?
  1. [91112435895]
  2. [1824273069186]
  3. [356-2-3-103-1]
  4. [986201263]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [10324].
  1. [517334117217]
  2. [223-346-123523]
  3. [217-334-117517]
  4. [4-3-210]
Grade 12 Matrices CCSS: HSN-VM.C.12
The vertex matrix for rectangle ABCD is V=[11441331]. Which of the following is the correct transformed vertex matrix, if the transformation matrix A=[01-10] is applied?
  1. [1-13-13-41-4]
  2. [-1-3-3-11144]
  3. [1331-1-1-4-4]
  4. [-1-3-3-1-1-1-4-4]
Grade 12 Matrices CCSS: HSN-VM.C.11
For the transformation matrix A=[100-1], how is the vector →v=〈3,4〉 affected if it is multiplied with A?
  1. It has been rotated 90° clockwise.
  2. It has reversed direction.
  3. It has been reflected over a horizontal line.
  4. The resulting transformation is a combination of reflections and rotations.
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