Consider the function below. (If an answer does not exist, enter DNE.)

f(x) =x^312x+8

(a) Find the interval of increase. (Enter your answer using interval notation.)

Find the interval of decrease. (Enter your answer using interval notation.)

(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)

Find the local maximum value(s). (Enter your answers as a comma-separated list.)

(c) Find the inflection point.

(x,y) =

Find the interval where the graph is concave upward. (Enter your answer using interval notation.)

Find the interval where the graph is concave downward. (Enter your answer using interval notation.)

Consider the function below. (If an answer does not exist, enter DNE.)

f(x) =.5X^4 -4x^2+5

(a) Find the interval of increase. (Enter your answer using interval notation.)

Find the interval of decrease. (Enter your answer using interval notation.)

(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)

Find the local maximum value(s). (Enter your answers as a comma-separated list.)

(c) Find the inflection points.

(x,y)=(smallerx-value)(

x,y)=(largerx-value)

Find the interval where the graph is concave upward. (Enter your answer using interval notation.)

Find the interval where the graph is concave downward. (Enter your answer using interval notation.)

Consider the function below. (If an answer does not exist, enter DNE.)

g(x) =150+ 8x^3+x^4

(a) Find the interval of increase. (Enter your answer using interval notation.)

Find the interval of decrease. (Enter your answer using interval notation.)

(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)

Find the local maximum value(s). (Enter your answers as a comma-separated list.)

(c) Find the inflection points.

(x,y) =

(smallerx-value)

(x,y) =

(largerx-value)

Find the interval where the graph is concave upward. (Enter your answer using interval notation.)

Find the interval where the graph is concave downward. (Enter your answer using interval notation.)

Consider the function below. (If an answer does not exist, enter DNE.)

h(x) = 5x^33x^5

(a) Find the interval of increase. (Enter your answer using interval notation.)

Find the interval of decrease. (Enter your answer using interval notation.)

(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)

Find the local maximum value(s). (Enter your answers as a comma-separated list.)

(c) Find the inflection points.

(x,y)=(smallestx-value)

(x,y)=

(x,y)=(largestx-value)

Find the interval where the graph is concave upward. (Enter your answer using interval notation.)

Find the interval where the graph is concave downward. (Enter your answer using interval notation.)

Consider the function below. (If an answer does not exist, enter DNE.)

F(x) =x sqrt(6x)

(a) Find the interval of increase. (Enter your answer using interval notation.)

Find the interval of decrease. (Enter your answer using interval notation.)

(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)

Find the local maximum value(s). (Enter your answers as a comma-separated list.)

(c) Find the inflection point.

(x,y) =

Find the interval where the graph is concave upward. (Enter your answer using interval notation.)

Find the interval where the graph is concave downward. (Enter your answer using interval notation.)

Consider the function below. (If an answer does not exist, enter DNE.)

C(x) =x^(1/7) (x+8)

(a) Find the interval of increase. (Enter your answer using interval notation.)

Find the interval of decrease. (Enter your answer using interval notation.)

(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)

Find the local maximum value(s). (Enter your answers as a comma-separated list.)

(c) Find the inflection points.

(x,y)=(smallerx-value)(x,y)=(largerx-value)

Find the intervals where the graph is concave upward. (Enter your answer using interval notation.)

Find the interval where the graph is concave downward. (Enter your answer using interval notation.)

Consider the following function. (If an answer does not exist, enter DNE.)

f(x) = 1 +7/x - 5/(x^2)

(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.)

x=

Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.)

y=

(b) Find the interval where the function is increasing. (Enter your answer using interval notation.)

Find the interval where the function is decreasing. (Enter your answer using interval notation.)

(c) Find the local maximum and minimum values.

local maximum value

local minimum value

(d) Find the interval where the function is concave up. (Enter your answer using interval notation.)

Find the interval where the function is concave down. (Enter your answer using interval notation.)

Find the inflection point.

(x,y) =

Consider the following function. (If an answer does not exist, enter DNE.)

f(x) =sqrt(x^2+4)x

(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.)

x=DNE

Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.)

y=0

(b) Find the interval where the function is increasing. (Enter your answer using interval notation.)

DNE

Find the interval where the function is decreasing. (Enter your answer using interval notation.)

(,)

(c) Find the local maximum and minimum values.

local maximum value

local minimum value

(d) Find the interval where the function is concave up. (Enter your answer using interval notation.)

Find the interval where the function is concave down. (Enter your answer using interval notation.)

Find the inflection point.

(x,y) =

Consider the following function. (If an answer does not exist, enter DNE.)

f(x) =e^(-x^2)

(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.)

x=

Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.)

y=

(b) Find the interval where the function is increasing. (Enter your answer using interval notation.)

Find the interval where the function is decreasing. (Enter your answer using interval notation.)

(c) Find the local maximum and minimum values.

local maximum value

local minimum value

(d) Find the interval where the function is concave up. (Enter your answer using interval notation.)

Find the interval where the function is concave down. (Enter your answer using interval notation.)

Find the inflection point.

(x,y)=(smallerx-value)

(x,y)=(largerx-value)