Question

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) = 1/4(5x-2) . x ≤ 3

absolute maximum value | |

absolute minimum value | |

local maximum value(s) | |

local minimum value(s) |

Answer #1

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) = 3 cos(t), −3π/2 ≤ t ≤ 3π/2

Sketch the graph of f by hand and use your sketch to
find the absolute and local maximum and minimum values of
f. (If an answer does not exist, enter DNE.)
f(x) =
25 − x2
if −5 ≤ x < 0
4x − 2
if 0 ≤ x ≤ 5
absolute maximum
absolute minimum
local maximum
local minimum

Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f (x, y) =
xy − 5x − 5y
− x2 −
y2
local
maximum value(s)
local
minimum value(s)
DNE
saddle
point(s)
(x, y,
f)
=DNE

Use a graph or level curves or both to find the local maximum
and minimum values and saddle points of the function. Then use
calculus to find these values precisely. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x,y) = x^2+y^2+(x^-2)(y^-2)+3

Use a graph or level curves or both to find the local maximum
and minimum values and saddle points of the function. Then use
calculus to find these values precisely. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.) f(x,
y) = x^2 + y^2 + x^−2y^−2 + 9

Use a graph and/or level curves to find the local maximum and
minimum values and saddle points of the function. Then use calculus
to find these values precisely. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) = sin(x) + sin(y) + cos(x + y) +
9, 0 ≤ x ≤ π/4, 0 ≤ y
≤ π/4

Consider the function below.
f(x) = 7 + 4x2 − x4
(a) Find the interval of increase. (Enter your answer using
interval notation.)
(b) Find the interval of decrease. (Enter your answer using
interval notation.)
(c) Find the local minimum value(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
(d) Find the local maximum value(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)

Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f (x, y) = xy − 5x − 5y − x2 − y2

SCalcET8 14.7.010.
My Notes
Ask Your Teacher
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) =
4 − x4 +
2x2 −
y2
local maximum value(s)
local minimum value(s)
saddle point(s)
(x,...

Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) =
4y
cos(x), 0 ≤
x ≤ 2π
Find:
local maximum value(s) =
local minimum value(s) =
saddle point(s) (x,y,f) =

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