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Twelfth Grade (Grade 12) Functions and Relations Questions

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Grade 12 Functions and Relations CCSS: HSF-IF.A.1
What x values must be excluded from the domain of f(x)=-2x+3?
  1. x=0
  2. x=3
  3. x=-3
  4. x=2
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 Functions and Relations CCSS: HSN-VM.C.10
Which of the following are identity matrices? There may be more than one correct answer.
  1. [100010001]
  2. [100100100]
  3. [1001]
  4. [1111]
Grade 12 Functions and Relations
Identify the vertical asymptote.
y=2xx+6
  1. x = 6
  2. x = -6
  3. x = 2
  4. x = -2
Grade 12 Functions and Relations
Which of the following functions has a vertical asymptote at x = 1, a horizontal asymptote at y = 0, and a hole at x = 4?
  1. y=3xx-1
  2. y=x+1x2+5x+4
  3. y=x-1x2-5x+4
  4. y=x-4x2-5x+4
Grade 12 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-BF.B.5, HSF-LE.A.2
A bacteria colony covers 5 cm2 and grows exponentially. After 4 days it covers 80 cm2. How much area will it cover after 2 weeks?
  1. 8.2 m2
  2. 4300 cm2
  3. 4.3 m2
  4. 1393 cm2
Grade 12 Functions and Relations CCSS: HSF-IF.A.1
y2=x is a function.
  1. True
  2. False
Grade 12 Functions and Relations
Find the Vertical and Horizontal Asymptotes.
f(x)=x-2x2-16
  1. VA: (x=4, x=-4) ; HA: (y=0)
  2. VA: (x=4, x=2) ; HA: (y=4) (y=-4)
  3. VA: (x=4, x=4) ; HA: (y=0)
  4. VA: (x=4) ; HA: (y=0)
Grade 12 Functions and Relations
A town begins with 100 people and after 100 years has a population of 3200. The population has
  1. doubled every 25 years.
  2. quadruped every 30 years.
  3. tripled every 10 years.
  4. doubled every 20 years.
Grade 12 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.C.7
What x values must be excluded from the domain of f(x)=3x-46x+3?
  1. x=43
  2. x=-3
  3. x=12
  4. x=-12
Grade 12 Functions and Relations
Give the equation of the vertical asymptote.
y=4xx+3
  1. x = -3
  2. x = 3
  3. x = 0
  4. x = 4
Grade 12 Functions and Relations CCSS: HSF-IF.A.1
What x values must be excluded from the domain of f(x)=3x7x+21?
  1. x=3
  2. x=-3
  3. x=0
  4. x=-7
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