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Twelfth Grade (Grade 12) Function and Algebra Concepts Questions

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Grade 12 Function and Algebra Concepts
Which of the following is an exponential function?
  1. y = 2x + 3
  2. y = x^2 - 1
  3. y = 3(2)^x
  4. y = x + 2
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which property of logarithms states that the logarithm of a power is equal to the product of the exponent and the logarithm of the base?
  1. Product property
  2. Quotient property
  3. Power property
  4. Change of base property
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which of the following statements is true for exponential functions?
  1. They always have a constant rate of change.
  2. They always have a linear graph.
  3. They can model growth or decay.
  4. They can only be written in logarithmic form.
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which of the following is the logarithmic form of the equation 3^4 = 81?
  1. log3 4 = 81
  2. log4 81 = 3
  3. log81 4 = 3
  4. log3 81 = 4
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations 2x=8 and 6=3y+x?
  1. [280631]
  2. [820631]
  3. [028631]
  4. [208136]
Grade 12 Functions and Relations
The function f(x)=2x2-7x+6x2+2x-8 has
  1. a vertical asymptote at x=2, a horizontal asymptote of y=2, and a hole at x=-4.
  2. a horizontal asymptote at x=-4 and a hole at x=2.
  3. vertical asymptotes at both x=2 and x=-4.
  4. a horizontal asymptote at x=2 and a hole at x=-4.
  5. a vertical asymptote at x=-4, a horizontal asymptote of y=2, and a hole at x=2.
Grade 12 Matrices CCSS: HSN-VM.C.10
The identity matrix is always square.
  1. True
  2. False
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [2980341113] is multiplied by the scalar 5, what is the result?
  1. [714135896168]
  2. [1045400152055515]
  3. [3411132980]
  4. [1005451555402015]
Grade 12 Matrices CCSS: HSN-VM.C.10
For M=[4-5-36], find M-1, if it exists.
  1. Matrix M does not have an inverse.
  2. [213539113439]
  3. [23591349]
  4. [49-59-1323]
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which property of logarithms states that the logarithm of a number to its own base is equal to 1?
  1. Product property
  2. Quotient property
  3. Power property
  4. Identity property
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which property of logarithms states that the logarithm of a product is equal to the sum of the logarithms of its factors?
  1. Product property
  2. Quotient property
  3. Power property
  4. Change of base property
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following transformations will result in a horizontal shift of the graph of the logarithmic function f(x) = log base b (x)?
  1. f(x) → f(2x)
  2. f(x) → f(x + 2)
  3. f(x) → f(x - 2)
  4. f(x) → 2log base b (x)
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