Use the graph to find the limit L (if it exists). If
the limit does not exist, explain why. (If an answer does not
exist, enter DNE.)
h(x) = -x/2 + x2
(a)
lim x→2 h(x)
L =
(Select One)
The limit does not exist at x = 2 because the function
is not continuous at any x value.
The limit does not exist at x = 2 because the function
approaches different values from the left and right side...
Let
f(x) = 14 −
2x.
(a)
Sketch the region R under the graph of f on
the interval
[0, 7].
The x y-coordinate plane is given. There is 1
line and a shaded region on the graph.
The line enters the window at y = 13 on the positive
y-axis, goes down and right, and exits the window at
x = 6.5 on the positive x-axis.
The region is below the line.
The x y-coordinate plane is given. There...
For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.
For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.
Summarize the pertinent information obtained by applying the
graphing
strategy and sketch the graph of f(x)=-2x/(x-1)^2
Part 1: Find the x-intercepts of f(x). Select the correct
choice below and, if necessary, fill in the answer box to
complete your choice.
A.The x-intercept(s) is/are at x=____. (Type an integer or a
decimal. Use a comma to separate answers as needed.)
B. There are no x-intercepts.
Part 2. Find the y-intercepts of f(x). Select the correct
choice below and, if necessary, fill...
Determine all significant features by hand and sketch the
graph
f(x)=x/x+2
Please provide all work needed to solve the problem with
explanations. Thank you!
For the following exercises, use numerical evidence to determine whether the limit exists at x = a. If not, describe the behavior of the graph of the function at x = a.
Sketch the graph of f by hand and use your sketch to
find the absolute and local maximum and minimum values of
f. (Enter your answers as a comma-separated list. If an
answer does not exist, enter DNE.)
f(t) = 2 cos(t), −3π/2 ≤ t ≤ 3π/2
absolute maximum value
absolute minimum value
local maximum value(s)
local minimum value(s)
Sketch the graph of f by hand and use your sketch to
find the absolute and local maximum and minimum values of
f. (Enter your answers as a comma-separated list. If an
answer does not exist, enter DNE.)
f(x) =
x2
if −1 ≤ x ≤ 0
2 −
3x
if 0 < x ≤ 1
absolute maximum value
absolute minimum value
local
maximum value(s)
local
minimum value(s)