Question

Graph the piecewise function. Be sure that you correctly use the open and closed dots.

* g*(

2
+ 11x |
if
< −5x |
||

2
+ 4x |
if −5 ≤
≤ 5x |
||

2
− 3x |
if
> 5x |

Answer #1

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sketch a neat, piecewise function with the following
instruction: 1. as x approach infinity, the limit of the function
approaches an integer other than zero. 2. as x approaches a
positive integer, the limit of the function does not exist. 3. as x
approaches a negative integer, the limit of the function exists. 4.
Must include one horizontal asymtote and one vertical asymtote.

Graph the rational function. Provide the intercepts, asymtotes,
critical numbers, open interval where function f(x) is increasing
or decreasing, and critical points. Use this information to graph
the function. No need to add anymre points besides the critical
points or intercepts. 8) f(x) = - x x2 - 25

Sketch a graph of a function having the following properties.
Make sure to label local extremes and inflection points.
1) f is increasing on (−∞, −2) and (3, 5) and decreasing on (−2,
0),(0, 3) and (5,∞).
2) f has a vertical asymptote at x = 0.
3) f approaches a value of 1 as x → ∞
4) f does not have a limit as x → −∞
5) f is concave up on (0, 4) and (8, ∞)...

the graph of the function g(x) = x - 2cosx + 3 is shown.
(a) determine the first value of x>0 where there s a local
maximum of g(x).
(b) determine the maximum and minimum slope anywhere on the
graph of g(x).
(c) evaluate limit-> infinity ((g(x))/x) if it exists._

Find traits and sketch the graph the equation
for a function g ( x ) that shifts the function f ( x ) = x + 4 x 2
− 16 two units right. Label and scale your
axes.
Domain:
x – Intercepts:
y – Intercept:
Vertical Asymptotes:
Holes:
End Behavior:
Range:

Find the absolute extrema of the function on the closed
interval
f(x)= 1 - | t -1|, [-7, 4]
minimum =
maximim =
f(x)= x^3 - (3/2)x^2, [-3, 2]
minimim =
maximim =
f(x)= 7-x, [-5, 5]
minimim =
maximim =

Sketch a graph of the function
h(x)=3/2sec2x
by first sketching a graph of y =
3/2cos2x and then drawing the graph of
y=h(x) on top of it. [Since you are drawing two graphs on
the same set of axes, either use a different color to distinguish
between the graphs or make one a dashed curve and the other solid.]
Be sure to show work and intermediate steps to demonstrate that you
did this WITHOUT a calculator or graphing program. On...

f(x)=x^3- (3+2a^2)×^2+ (2+6a^2)×-4a^2
Define the function g(a): the smallest positive root of f(x)
Is the function g(a) continuous? Use a graph to justify ur
answer

Use a finite sum to estimate the area under the graph of the
function f(x)=x^2-7 on [-3,7] divided into 5 subintervals and
evaluation the function at the right -end points of the
subinterval.

consider the function f(x) = x/1-x^2
(a) Find the open intervals on which f is increasing or
decreasing. Determine any local minimum and maximum values of the
function. Hint: f'(x) = x^2+1/(x^2-1)^2.
(b) Find the open intervals on which the graph of f is concave
upward or concave downward. Determine any inflection points. Hint
f''(x) = -(2x(x^2+3))/(x^2-1)^3.

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