Sample quiz on exponential functions
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1. If the equation of an exponential function is given by $y=a(b)^x$, what does $b$ represent?
   
   A: the first differences of the $y$ values
   B: the second differences of the $y$ values
   C: the third differences of the $y$ values
   D: the ratio of successive $y$ values
   
2. If an exponential function is given by $y=b^x$, which of the following values of $b$ is not permissible?
   
   A: $0.5$
   B: $5.0$
   C: $1.5$
   D: $1.0$
3. One notable characteristic of the graph of an exponential function is that $\cdots\cdots$
   
   A: it is sometimes increasing and sometimes decreasing
   B: it has a horizontal asymptote and a vertical asymptote
   C: it is always increasing or always decreasing
   D: it is periodic.
4. The equation $y=2(0.5)^x$ represents $\cdots\cdots$
   
   A: an exponential growth
   B: an exponential decay
   C: a linear function
   D: a quadratic function
5. The equation $y=0.5(2)^x$ represents $\cdots\cdots$
   
   A: an exponential growth
   B: an exponential decay
   C: a parabola
   D: an ellipse
6. If the function $y=b^x$ is increasing, then its horizontal asymptote is $\cdots\cdots$
   
   A: the positive $x$ axis
   B: the negative $x$ axis
   C: the positive $y$ axis
   D: the negative $y$ axis
7. What is the $y$ intercept of the exponential function $y=a(b)^x$?
   
   A: $y=1$
   B: $y=b$
   C: $y=a$
   D: $y=ab$
8. Find the equation of an exponential function $y=a(3)^x$ if it contains the point $(1,-3)$.
   
   A: $y=-3(3)^x$
   B: $y=-(3)^x$
   C: $y=3(-1)^x$
   D: $y=-3(1)^x$
9. Which of the following functions is NOT exponential?
   
   A: $y=4^x$
   B: $y=3^x$
   C: $y=2^x$
   D: $y=1^x$
10. Which of the following exponential functions is always increasing?
    
    A: $y=2.5(0.5)^x$
    B: $y=-2(5.0)^x$
    C: $y=-2(0.5)^x$
    D: $y=-5(2.0)^x$