(c) Part of the graph of g(x) = x + is given below. Use calculus and algebra to find S possible x values where f could possibly change direction (change from increase to decreas or vice versa). 6 sters 2- 4 -2 0 2 Possible Direction Changes if x = 4 (d) Does g(x) = x+ have a critical point at r = 0? Could g(x) have a local maximum when x=0? Explain. (Hint: you should copy the definition of critical point here before making your conclusion.) (e) Use the second derivative test to show that = 2 gives a local minimum. (Hint: copy the second derivative test down first and show why it is ok to use in this context.) D11: I can use derivatives to solve optimization problems. (a) Part of the graph of f(x) = x+2 is given below. i. Does the graph indicate that x = 0 is a critical point? Why/Why not? ii. Use calculus and algebra to find all possible values where f could possibly change direction (change from increase to decrease or vice versa). Does your alge- bra indicate that x = 0 is a critical point? Why/Why not? -2 0 2 2 Possible Direction Changes if x = (b) Use the first derivative test to show that f does not have a maximum or a minimum at 10. (Hint: you may need to look up this test. Show why it is ok to apply the test to this situation.)
(c) Part of the graph of g(x) = x + is given below. Use calculus and algebra to find S possible x values where f could possibly change direction (change from increase to decreas or vice versa). 6 sters 2- 4 -2 0 2 Possible Direction Changes if x = 4 (d) Does g(x) = x+ have a critical point at r = 0? Could g(x) have a local maximum when x=0? Explain. (Hint: you should copy the definition of critical point here before making your conclusion.) (e) Use the second derivative test to show that = 2 gives a local minimum. (Hint: copy the second derivative test down first and show why it is ok to use in this context.) D11: I can use derivatives to solve optimization problems. (a) Part of the graph of f(x) = x+2 is given below. i. Does the graph indicate that x = 0 is a critical point? Why/Why not? ii. Use calculus and algebra to find all possible values where f could possibly change direction (change from increase to decrease or vice versa). Does your alge- bra indicate that x = 0 is a critical point? Why/Why not? -2 0 2 2 Possible Direction Changes if x = (b) Use the first derivative test to show that f does not have a maximum or a minimum at 10. (Hint: you may need to look up this test. Show why it is ok to apply the test to this situation.)
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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d11 is not a grade is a standard!!
Transcribed Image Text:(c) Part of the graph of g(x) = x +
is given below. Use calculus and algebra to find S
possible x values where f could possibly change direction (change from increase to decreas
or vice versa).
6
sters
2-
4
-2
0
2
Possible Direction Changes if x =
4
(d) Does g(x) = x+
have a critical point at r = 0? Could g(x) have a local maximum when
x=0? Explain. (Hint: you should copy the definition of critical point here before making
your conclusion.)
(e) Use the second derivative test to show that = 2 gives a local minimum. (Hint: copy the
second derivative test down first and show why it is ok to use in this context.)
Transcribed Image Text:D11: I can use derivatives to solve optimization problems.
(a) Part of the graph of f(x) = x+2 is given below.
i. Does the graph indicate that x = 0 is a
critical point? Why/Why not?
ii. Use calculus and algebra to find all
possible values where f could possibly
change direction (change from increase to
decrease or vice versa). Does your alge-
bra indicate that x = 0 is a critical point?
Why/Why not?
-2
0
2
2
Possible Direction Changes if x =
(b) Use the first derivative test to show that f does not have a maximum or a minimum at
10. (Hint: you may need to look up this test. Show why it is ok to apply the test to this
situation.)
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