Polynomial Functions
Rational Functions
Exponential Functions
Logarithmic Functions
100
What is the y-intercept of y=3(x-2)(x+4)(x-1)?
(0,24)
100
Give the equation of the horizontal asymptote of
y=(2x+7)/(5x-1)
y=2/5
100
By what percent does the following equation grow or decay?
y=10(.68)^x
Decay, 32%
100
Rewrite 7^x=100 in logarithmic form.
log_7(100)=x
200
Write the equation of the polynomial shown in the graph:
y=-1/2(x+2)^2(x-5)
200
Write the equation of a rational function that satisfies ALL of the following criteria:
- X-intercept at x=5
- Vertical asymptote at x=-2
- Horizontal asymptote at y=-4
- Hole at x=-3
y=(-4(x-5)(x+3))/((x+3)(x+2)
200
You deposit $500 in a bank account that earns 1.3% interest compounded monthly. How much money will be in the account in 8 years (assuming you make no deposits or withdrawals)?
$554.77
200
If log(x^3/sqrt(y))=Alogx+Blogy
Find A+B
2.5
300
The result of dividing f(x)=3x^3+8x^2-37x+1 by x+5 is shown below. Which of the following statements is FALSE?
a) f(-5)=11
b) (x+5) is not a factor of f(x)
c) Dividing f(x) by x+5 gives a remainder of -10
d) f(x) has at least one real zero
c
300
Find the coordinates of the hole, if it exists:
b(x)=(-x^2-2x)/(x^2-7x-18)
(-2,-2/11)
300
Describe / list the transformations that occurred to the function y=4^x to produce the graph of y=-4^(x+1)-5
Reflection over the x-axis
Horizontal shift 1 unit to left
Vertical shift 5 units down
300
Solve for x:
log_3(6-2x)=2
x=-1.5
400
The polynomial g(x)=4x^3+cx^2-28x+40 has a factor of x+2 for some value of c. Find the value of c.
c=-16
400
Find the equation of the slant asymptote for this rational function:
y=(x^3-5x^2+2x-4)/(x^2-1)
y=x-5
400
Find the equation for the exponential function graphed below:
y=4(1.5)^x-3
400
Solve for x:
log_2x+log_2(x-2)=4
x=1+sqrt(17)