Consider the following graphs of functions
Consider the following graphs of functions
Which of the graphs represent functions where using local linearization to approximate the value of the function near the identified point will always give
an under estimate? There may be more than one correct answer.
A. h(x)
B.f(x)
C. I(x)
D. g(x)
E. None of the above
Which graph(s) has a global minimum somewhere on the graph shown? There may be more than one correct answer.
A. f(x)
B. I(x)
OC. h(x)
D. g(x)
E. None of the above
Which graph(s) has a local extrema somewhere on the graph shown? There may be more than one correct answer.
A. h(x)
B.f(x)
C. g(x)
D. I(x)
E. None of the above
Homework Answers
1. For a function f(x) (not shown), we have the graphs of f' (x), f ''(x)...
1. For a function f(x) (not shown), we have the graphs of f'
(x), f ''(x) and f '''(x). Use these graphs to answer the following
questions. The difference between a level 1 and 2 pass will be in
the number of correct answers and your attention to detail.
1a. Identify all intervals, approximately, where the original
function, f(x) is increasing
1b. Identify all intervals, approximately, where the original
function f(x) is decreasing.
1c. Identify all intervals, approximately, where the...
For the first-order reaction X ⟶ products, which of the following graphs is best for determining...
For the first-order reaction X ⟶ products, which of the following graphs is best for determining the activation energy, Ea ? Note: The best choice is the one that yields a straight line graph with the slope directly proportional to Ea . In the options below, T is the kelvin temperature and t is time. (a) k versus 1/T (b) 1 / [X] versus t (c) ln k versus T (d) ln [X] versus t (e) [X] versus t (f)...
2. The graphs of functions f and g are shown below. Circle your choice for each...
2. The graphs of functions f and g are shown below. Circle your choice for each of the questions below. 1 3 2 g 0 2 a. Let u(x) = 160. Find the value of '(1) g(x) ii. 3 9 iv. / V. None of the above b. Let v(x) = x2. [f(x)]'. Find the value of v'(6). i. 1296 ii. -81 iii. 567 iv. 81 V. None of the above
Which functions are one-to-one on the domain (−∞,∞) (−∞,∞)?
You may find it helpful to graph the functions and use the horizontal line test.There may be more than one correct answer. Select all that apply.ψ(x)=sinxg(x)=x^3−5f(x)=x^2+1h(x)=x^5+x−2/x^4+1μ(x)=x^6+2x^2/x+1φ(x)=arctanx
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and...
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1,6). The function g(x) has y-intercept 6 and goes through the point (2,6/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). y = f(x) y = g(x) y = h(x) (Click on a graph to enlarge it.) help (formulas) (a) Find a...
please help!! If the graphs of two differentiable functions f(x) and g(x) start at the same point in the plane and the f...
please help!!
If the graphs of two differentiable functions f(x) and g(x) start at the same point in the plane and the functions have the same rate of change at every point, do the graphs have to be identical? Give reasons for your answer A corollary of the Mean Value Theorem states that if f7x): g7x) at each point x in an open interval (a,b), then there exists a constant C such that f(x)= g(x)-C for all Xe(a,b). That is,...
O GRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined...
O GRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. g={(-2, 5), (3, - 2), (6, 4), (8, 9)} h(x)= *+9 11 Find the following. 8'(-2) = 0 00 x X 5 ? (non ') (1) = 0
Select ALL of the lines on the graphs (shown above) which could represent a velocity vs...
Select ALL of the lines on the graphs (shown
above) which could represent a velocity vs time
graph of motion with constant acceleration.
A
B
C
D
E
F
G
H
I
J
K
L
time time time
Select ALL of the lines on the graphs (shown above) which could represent a position vs...
Select ALL of the lines on the graphs (shown
above) which could represent a position vs
time graph of motion with non-zero acceleration.
A
B
C
D
E
F
G
H
I
J
K
L
time time time
Question #5 Evaluating Function Operations Reference Q. 11168 The graph of two quadratic functions, y=f() and...
Question #5 Evaluating Function Operations Reference Q. 11168 The graph of two quadratic functions, y=f() and y=g(x), ER are shown on the grid. a. Use these graphs to sketch the graphs of y=(1-9)() and y=(9-f)(x) for IER. b. How do the graphs of y=(f -9)(x) and y = (9-) (2) relate to each other? 2.0 + 2. Write expressions for the c. The functions f and g above are f(x) = 2x? - 2 - 8 and g(x) = -12...
1. For a function f(x) (not shown), we have the graphs of f'
(x), f ''(x) and f '''(x). Use these graphs to answer the following
questions. The difference between a level 1 and 2 pass will be in
the number of correct answers and your attention to detail.
1a. Identify all intervals, approximately, where the original
function, f(x) is increasing
1b. Identify all intervals, approximately, where the original
function f(x) is decreasing.
1c. Identify all intervals, approximately, where the...
2. The graphs of functions f and g are shown below. Circle your choice for each of the questions below. 1 3 2 g 0 2 a. Let u(x) = 160. Find the value of '(1) g(x) ii. 3 9 iv. / V. None of the above b. Let v(x) = x2. [f(x)]'. Find the value of v'(6). i. 1296 ii. -81 iii. 567 iv. 81 V. None of the above
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1,6). The function g(x) has y-intercept 6 and goes through the point (2,6/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). y = f(x) y = g(x) y = h(x) (Click on a graph to enlarge it.) help (formulas) (a) Find a...
please help!!
If the graphs of two differentiable functions f(x) and g(x) start at the same point in the plane and the functions have the same rate of change at every point, do the graphs have to be identical? Give reasons for your answer A corollary of the Mean Value Theorem states that if f7x): g7x) at each point x in an open interval (a,b), then there exists a constant C such that f(x)= g(x)-C for all Xe(a,b). That is,...
O GRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. g={(-2, 5), (3, - 2), (6, 4), (8, 9)} h(x)= *+9 11 Find the following. 8'(-2) = 0 00 x X 5 ? (non ') (1) = 0
Select ALL of the lines on the graphs (shown
above) which could represent a velocity vs time
graph of motion with constant acceleration.
A
B
C
D
E
F
G
H
I
J
K
L
time time time
Select ALL of the lines on the graphs (shown
above) which could represent a position vs
time graph of motion with non-zero acceleration.
A
B
C
D
E
F
G
H
I
J
K
L
time time time
Question #5 Evaluating Function Operations Reference Q. 11168 The graph of two quadratic functions, y=f() and y=g(x), ER are shown on the grid. a. Use these graphs to sketch the graphs of y=(1-9)() and y=(9-f)(x) for IER. b. How do the graphs of y=(f -9)(x) and y = (9-) (2) relate to each other? 2.0 + 2. Write expressions for the c. The functions f and g above are f(x) = 2x? - 2 - 8 and g(x) = -12...
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