Find the real zeros of the function f(x) = -(x+1)^3(x-2)^2 and
their corresponding multiplicities. Use the information along with
a sign chart (diagram) and then the end behavior to provide a rough
sketch of the graph of the polynomial.
For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve
Use the factor theorem to show that x+2 is a factor of f(x). The
find all real zeroes for the polynomial given that x+2 is a factor
of f(x). f(x) = x^3 -5x^2 -2x +24
(a) For f(x) = 1 4 x 4 − 6x 2 find the intervals where f(x) is
concave up, and the intervals where f(x) is concave down, and the
inflection points of f(x) by the following steps:
i. Compute f 0 (x) and f 00(x).
ii. Show that f 00(x) is equal to 0 only at x = −2 and x =
2.
iii. Observe that f 00(x) is a continuous since it is a
polynomial. Conclude that f 00(x)...
For the function
a) f(x)=x^3-9x^2+23x-15
b)f(x)=(x+3)^2(2x+1)(x-1)
c)f(x)=-(x^2-6x+9)(x^2-x-6)
Find:
1) the zeros
2) the y-intercept
3) left-right end behavior
4) the sketch of the graph
Find all x values for which the function y = x^3 + 6x^2 + 3x + 7
has a horizontal tangent line. Find the derivative of f(x) using
the definition for a limit.