Question

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 − x^{2} |
if −5 ≤ x < 0 | |

4x − 2 | if 0 ≤ x ≤ 5 |

absolute maximum | |

absolute minimum | |

local maximum | |

local minimum |

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(x) = 1/4(5x-2) . x ≤ 3
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(t) = 3 cos(t), −3π/2 ≤ t ≤ 3π/2

1. Find the absolute maximum value and the absolute minimum
value, if any, of the function. (If an answer does not exist, enter
DNE.)
g(x) =
−x2 + 4x + 9
maximum =
minimum=
2. Find the absolute maximum value and the absolute minimum
value, if any, of the function. (If an answer does not exist, enter
DNE.)
f(x) = x2 − x − 3 on [0, 3]
3.
Find the absolute maximum value and the absolute minimum value,
if...

Sketch the graph by hand using asymptotes and intercepts, but
not derivatives. Then use your sketch as a guide to producing
graphs (with a graphing device) that display the major features of
the curve. Use these graphs to estimate the maximum and minimum
values. (Round your answers to three decimal places.)
f(x) = (2x + 3)2(x − 2)5 x3(x − 5)2
local minima (x, f(x)) = -1.5 Correct: Your answer is correct. ,
0 Correct:
Your answer is correct. (smaller...

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

Find the absolute maximum and absolute minimum values, if any,
of the function. (If an answer does not exist, enter DNE.)
h(x) = x3 + 3x2 + 3 on [−3, 2]
absolute maximum ______
absolute minimum _______

Find the absolute maximum and minimum values of f on
the set D.
f(x, y) =
4x + 6y −
x2 − y2 +
8,
D = {(x,
y) | 0 ≤ x ≤ 4, 0 ≤
y ≤ 5}
Find the absolute maximum and minimum values of f on
the set D.
f(x, y) = 2x3 + y4 +
2, D = {(x, y) | x2 +
y2 ≤ 1}

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 − 4x − 4y − x2 − y2

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