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Unit 5

Quiz by Susy V

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20 questions
Show answers
  • Q1
    Identify the y-intercept and tell whether the graph is increasing or decreasing. F(x) = 6.2(0.2)^x
    (6.2,0) Increasing
    (0,6.2) Increasing
    (6.2,0) decreasing
    (0, 6.2) decreasing
    60s
  • Q2
    Identify the y-intercept and tell whether the graph is increasing or decreasing. h(x)=2/3(4)^x
    (0, 2/3) increasing
    (2/3, 0) increasing
    (2/3,0) decreasing
    (0,2/3) decreasing
    60s
  • Q3
    For f(x) = 23x + 1, find: f(2)
    f(2)= 66
    f(2) = 65
    f(2)=64
    f(2)=56
    60s
  • Q4
    If y=b^x is the basic example of an exponential function, then a logarithmic function is written as
    y=blog(x)
    y=logb(x)
    x=logb(y)
    60s
  • Q5
    Rewrite the following using the change-of-base formula and evaluate if possible. log6(121)
    log(121) / log(6) =2.677
    log(6) / log(121) =2.677
    60s
  • Q6
    Write an exponential function
    Question Image
    F(x)= 4(2)^x
    F(x)= 2(4)^x
    F(x)= x(2)^4
    F(x)=x(4)^2
    60s
  • Q7
    logb(x/y) Can be simplified as
    logb(y)-logb(x)
    logb(y)+ logb(x)
    logb(x)- logb(y)
    logb(x) + logb(y)
    60s
  • Q8
    What is the equation for compound interest (compounded annually)?
    A(t)= r(1+P)^t
    A(t) = P(1+r)^t
    A(t)=t(1+P)^r
    60s
  • Q9
    What is the equation for continuous compound interest?
    A(t)= Pr^et
    A(t) = Pe^rt
    A(t)= Pt^er
    60s
  • Q10
    logb(z) + logb(w) Can be rewritten into one log as
    logz(bw)
    log(zw)
    logb(zw)
    60s
  • Q11
    A person’s current salary is $40000. The person will receive a raise of 5% every year that they work at the company. A. Write a function that gives the person’s salary after t years of working for this company. B. If the person retires after 30 years, what was their salary at retirement?
    A.) P(t) =4000(1.05)6^t B.) P(35)=172877.70
    A.) P(t)=40000(1.05)^t B.) P(30)=172877.70
    120s
  • Q12
    A fossil is found in 2010. The amount of carbon present in the fossil is 30% of the original amount. The half-life of carbon-14 is 5730 years. How old is the fossil?
    P(t)=(1/2)^t/5730; t=9952.8
    P(t)= (2/1)^t/5730; t= 9952.8
    120s
  • Q13
    f(x) = 2x + 3
    f(x) =(x-3)/2
    f^-1(x)= 2/ (x-3)
    f ^-1(x) = (x - 3)/2
    60s
  • Q14
    f(x)=3x+2
    f^-1(x)=x-2/ 3
    f^-1(x) = 3/ x-2
    60s
  • Q15
    Solve without using a calculator. log25(5)
    2/1
    1/2
    5
    2
    30s

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