Question
In: Math
Consider the graph of f(x) = |x|. Use your knowledge of rigid and nonrigid transformations to...
Consider the graph of f(x) = |x|. Use your knowledge of rigid and nonrigid transformations to write an equation for the following description. Verify with a graphing utility.
The graph of f is reflected in the x-axis, shifted three units to the left, and shifted eleven units upward.
| STEP 1: | Reflect |x| about the x-axis. g(x) = |
|---|---|
| STEP 2: | Reflect |x| about the x-axis and shift three
units to the left. g(x) = |
| STEP 3: | Reflect |x| about the x-axis, shift three
units to the left, and shift eleven units upward. g(x) = |
Consider the graph of g(x) = √x. Use your knowledge of rigid and nonrigid transformations to write an equation for the following description. Verify with a graphing utility.
The graph of g is vertically stretched by a factor of 7, reflected in the x-axis, and shifted four units upward.
h(x) =
Consider the graph of f(x) = |x|. Use your knowledge of rigid and nonrigid transformations to write an equation for the following description. Verify with a graphing utility.
The graph of f is vertically shrunk by a factor of 1/9 and shifted three units to the left.
g(x) =
Consider the graph of f(x) = x3. Use your knowledge of rigid and nonrigid transformations to write an equation for the following description. Verify with a graphing utility.
The graph of f is shifted twelve units to the left.
y =
Solutions
milcah answered 2 years agoRelated Solutions
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The graph here shows transformations of the graph of f(x) = 2x. What is the equation for the transformation?
Use finite approximation to estimate the area under the graph f(x)= 8x2 and above graph f(x)...
Use finite approximation to estimate the area under the graph
f(x)= 8x2 and above graph f(x) = 0 from X0 =
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i) lower sum with two rectangles of equal width
ii) lower sum with four rectangles of equal width
iii) upper sum with two rectangles of equal width
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Consider the graph defined by f(x) = (x-3)2 a) state the coordinates of the vertex and...
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consider f(x) = ln(x) use polynomial degree of 5!!! a) Approximate f(0.9) and f(1.1) b) Use...
consider f(x) = ln(x) use polynomial degree of 5!!!
a) Approximate f(0.9) and f(1.1)
b) Use Taylor remainder to find an error formula for Taylor
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Estimate the area (A) between the graph of the function F(X)=3/X and the interval [1,2]. Use an...
Estimate the area (A) between the graph of the function
F(X)=3/X and the interval [1,2]. Use an approximation
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If your calculating utility will perform automatic summations,
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A2=
A5=
A10=
A50=
A100=
the figure shows the graph of f(x) = ex. in the exercise 1 to 4, use...
the figure shows the graph of f(x) =
ex. in the exercise 1 to 4, use
transformation of this graph to graph each function. be sure to
give equation of this the asymptotes. use the graph to determine
each function's domain and range. if applicable, use a graphing
utility to confirm your graph
1). g(x) = ex-1
2). g(x) = ex+2
3) h(x) = e-x
4) g(x) = 2ex
Consider the function f(x)= tan 1/x Use the following table to guess the limit f(x) as...
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f(x) = tan 1/x
1/π
1/2π
1/3π
1/4π
1/5π
4/π
4/5π
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4/17π
Sketch the graph of f by hand and use your sketch to find the absolute and...
Sketch the graph of f by hand and use your sketch to
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f(t) = 2 cos(t), −3π/2 ≤ t ≤ 3π/2
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...
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) =
x2
if −1 ≤ x ≤ 0
2 −
3x
if 0 < x ≤ 1
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...
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f(x) = ln 3x, 0 < x ≤ 7
Find the absolute maximum and absolute minimum values of f on
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