a. f(x) = -3(x+1)2-2
b. Vertex: (-1, -2)
y-intercept: (0,-5)
Does the following function have a hole? If so, where?
f(x) = x2-x-2/x2+x-6
Yes! There is a hole.
x = 2
-3, -4, 5, undefined, 1.8614
True or False: An odd degree polynomial could have all imaginary zeros.
False!! Imaginary zeros come in pairs.
Exponential function is the inverse of a _________________ function.
Logarithmic
True or False: The graph of a polynomial function might not have any x-intercepts.
True!!
f(x) = x3-13x+12
a. Determine the possible number of positive and negative real zeros.
b. Use the rational zero theory to determine the possible rational zeros.
c. Determine the zeros of the polynomial.
a. 2 or 0 positive real zeros, 1 negative real zero
b. ±1, ±2, ±3, ±4, ±6, ±12
c. zeros: -4, 1, 3
In(x+2)+In(x-3)-In(x+1)-In(x+6)
x = In3 ~ 1.0986
(-1, 3)
A bookstore sells used textbooks to students. The profit of selling x textbook is given by f(x) = 5000 + 16x - 0.2x2
a. How many books should be sold to maximize the profit?
b. What is the maximum profit?
Plug-in function to desmos.
x = 2
Your initial investment is $20,000 and the interest in an account is 5% how much will you have in the account in 10 years if the interest is compounded continuously?
Interest 10 years later: $32,974.43
(1, 2, -3)