Homework Answers
Question 6 14.3 pts Let h be a function such that h'(x) = 2x3 + 3x2...
Question 6 14.3 pts Let h be a function such that h'(x) = 2x3 + 3x2 – 127. For what values of x does the graph of h have a point of inflection 1 -1 0 N -2
1. Let f be a function whose graph is shown below. 14 y 12 10 -14-12-10...
1. Let f be a function whose graph is shown below. 14 y 12 10 -14-12-10 - 2 2 10 12 14 TI -10 - 12 -14 (a) For which values r = a is the function f discontinuous. Use the formal defini- tion of continuity in your explanation (b) Does the function f graphed above have any removable discontinuities? Explain.
(1 point) Let a graph have vertices C, D, E, F, G, H and edge set...
(1 point) Let a graph have vertices C, D, E, F, G, H and edge set {{C, D},{C, E}, {C, F}, {C, H},{D, E}, {D, F}, {D, G}, {F,G}}. a. What is the degistrerte 2 bow What is the degree of vedexOT c. How many components does the graph have? 2
Question 7 14 Let f be a twice differentiable function, and let f(6) = 7, f'(6)=0,...
Question 7 14 Let f be a twice differentiable function, and let f(6) = 7, f'(6)=0, and f" (6) = 0. Which statement must be true about the graph of f? (6,7) is a local minimum point (6,7) is a local maximum point (6,7) is a global maximum point There's not enough information to tell. (6,7) is a point of inflection (6,7) is a global minimum point Question 5 14.3 pts Let f be a twice differentiable function. y С...
Let f(x) = 2x + 8/x +1 (a) Find the interval(s) where the function is increasing...
Let f(x) = 2x + 8/x +1
(a) Find the interval(s) where the function is increasing and
the interval(s) where it is decreasing. If the answer cannot be
expressed as an interval, state DNE (short for does not exist).
(b) Find the relative maxima and relative minima, if any. If
none, state DNE.
(c) Determine where the graph of the function is concave upward
and where it is concave downward. If the answer cannot be expressed
as an interval, use...
14. If y =f(z) is a continuous function in a neighborhood around f'(c) = 0, does there have to be...
14. If y =f(z) is a continuous function in a neighborhood around f'(c) = 0, does there have to be a local extrema on the graph of u = f(x) at x = c. 15. If/"(z) =-4(-7)2(z + 1) and the domain of f(x) is all real numbers, determine where f(x) is concave up, concave down and find any r-values of inflection points.
14. If y =f(z) is a continuous function in a neighborhood around f'(c) = 0, does there...
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function...
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function f(x) increasing? b) For what value(s) of x does the function have any relative maxima or minima? c) On what intervals, if any, is the graph of f(x) concave down? d) For what value(s) of x, if any, does the the function have a point of inflection?
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function...
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function f(x) increasing? b) For what value(s) of x does the function have any relative maxima or minima? c) On what intervals, if any, is the graph of f(x) concave down? d) For what value(s) of x, if any, does the the function have a point of inflection?
T pt Let h() be a tunction continuous on IR. You are given the ollowing graph of h () Answer the ...
t pt Let h() be a tunction continuous on IR. You are given the ollowing graph of h () Answer the following questions for the function h(x) and give a graph for h(z) Cusps: Vertical tangent lines: Intervals of increase: Intervals of decrease: Local maxima: Local minima: Saddle points: Intervals on which y is concave up: Intervals on which y is concave down: Points of inflection:
t pt Let h() be a tunction continuous on IR. You are given the...
For the function f(x) = x^6 − 15x^4 c) Will the graph have any standard symmetry?...
For the function f(x) = x^6 − 15x^4 c) Will the graph have any standard symmetry? If so, which? f) Determine the end-behavior (in both directions.) g) Find the function's critical value(s), (if any.) Include their y-coordinates. (Exact values are expected, not decimals.) h) Classify the critical points you just found by using the first derivative test. i) Find the function's hyper-critical point(s), (if any.) Include their y-coordinates. (Exact values are expected, not decimals.) j) Determine whether the points you...
Question 6 14.3 pts Let h be a function such that h'(x) = 2x3 + 3x2 – 127. For what values of x does the graph of h have a point of inflection 1 -1 0 N -2
1. Let f be a function whose graph is shown below. 14 y 12 10 -14-12-10 - 2 2 10 12 14 TI -10 - 12 -14 (a) For which values r = a is the function f discontinuous. Use the formal defini- tion of continuity in your explanation (b) Does the function f graphed above have any removable discontinuities? Explain.
(1 point) Let a graph have vertices C, D, E, F, G, H and edge set {{C, D},{C, E}, {C, F}, {C, H},{D, E}, {D, F}, {D, G}, {F,G}}. a. What is the degistrerte 2 bow What is the degree of vedexOT c. How many components does the graph have? 2
Question 7 14 Let f be a twice differentiable function, and let f(6) = 7, f'(6)=0, and f" (6) = 0. Which statement must be true about the graph of f? (6,7) is a local minimum point (6,7) is a local maximum point (6,7) is a global maximum point There's not enough information to tell. (6,7) is a point of inflection (6,7) is a global minimum point Question 5 14.3 pts Let f be a twice differentiable function. y С...
Let f(x) = 2x + 8/x +1
(a) Find the interval(s) where the function is increasing and
the interval(s) where it is decreasing. If the answer cannot be
expressed as an interval, state DNE (short for does not exist).
(b) Find the relative maxima and relative minima, if any. If
none, state DNE.
(c) Determine where the graph of the function is concave upward
and where it is concave downward. If the answer cannot be expressed
as an interval, use...
14. If y =f(z) is a continuous function in a neighborhood around f'(c) = 0, does there have to be a local extrema on the graph of u = f(x) at x = c. 15. If/"(z) =-4(-7)2(z + 1) and the domain of f(x) is all real numbers, determine where f(x) is concave up, concave down and find any r-values of inflection points.
14. If y =f(z) is a continuous function in a neighborhood around f'(c) = 0, does there...
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function f(x) increasing? b) For what value(s) of x does the function have any relative maxima or minima? c) On what intervals, if any, is the graph of f(x) concave down? d) For what value(s) of x, if any, does the the function have a point of inflection?
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function f(x) increasing? b) For what value(s) of x does the function have any relative maxima or minima? c) On what intervals, if any, is the graph of f(x) concave down? d) For what value(s) of x, if any, does the the function have a point of inflection?
t pt Let h() be a tunction continuous on IR. You are given the ollowing graph of h () Answer the following questions for the function h(x) and give a graph for h(z) Cusps: Vertical tangent lines: Intervals of increase: Intervals of decrease: Local maxima: Local minima: Saddle points: Intervals on which y is concave up: Intervals on which y is concave down: Points of inflection:
t pt Let h() be a tunction continuous on IR. You are given the...
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