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2021 Spring S10 Final Review

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  • Identify domain, range and asymptotes
    x = all real numbers; y >=-1; no asymptotes
  • Solve for x
    x = sqrt(13)
  • What is
    2/5
  • The area affected by the insects is given by A = 1000 * 2^(0.7n) hectares, where n is the number of weeks after the initial observation. How long will it take for the affected area to reach 5000 hectares?
    3.3 weeks
  • What is
    -1/2
  • What is
    -2
  • What happens to A' if A is on the invariant line in a stretch?
    A' is A.
  • What is
    3/2
  • What is
    M=(a^3/32)
  • What is
    lg(8)
  • Using change of base rule, what is logb(a)
    logc(a)/logc(b)
  • State the domain and range.
    x = all real numbers except 5; y = all real numbers except 0.
  • Which ones have an inverse (one-to-one)?
    a, b, c, f
  • State the domain and range
    x > 5 and y > 0
  • Write without logarithms:
    M=e^(3a)/2
  • Find the equation of the new function.
    y=x/2-3/2
  • Solve for x
    x = 5; -20
  • Find
    a. y=(x-1)/3; b. y=4x-2
  • Find the final equation
    y=-3x/2+3
  • What happens to the equation of a line when the center of enlargement is located on the line itself?
    The equation does not change.
  • Write in terms of ln(a): -ln(2)
    ln(1/2)
  • What is lg(A^n)?
    n* lg(A)
  • Find
    f(x) = 7-8x
  • What is the inverse function of f(x) = a^x
    f^(-1)(x) = loga(x)
  • What is
    14
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