Consider the four graphs shown below. Select all graphs that satisfy the following four conditions: • f"(x) < 0 when -1 0 when x < -1 and x > 3, • f(-1) = -3, and • f(1) = -1. 0 0 f(x) +4 14 -2 0 2 4 W -4 -2 -2 -6- -2 2- -44 -6- -8- 0 f(x) 41 2 -4- 0 -4 -6 f(x) f(x) 2 2 4 2 4 X X X X

Q: Use the graphs to evaluate the expressions below. 6 4 N 1 f 5 4 f(x) g(x) f(g(3)) = = g(ƒ(1)) =…

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Q: Ketch a graph of f(x) = 3 2 x + 2

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Q: Sketch a graph of f(x) = %D Clear All Draw: 8- 7- 6 5 4 3 Nw 2 1 -8 -7 -6 -5 -4 -3 -2 -1₁ -2 -3 -4…

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Q: Below is a graph of the function g(x). 6+ 5- 3, -9 8 -7 -6 -5 -4 -3 -2 -1 Identify whether each of…

A: We need to identify whether each of the values below is positive, negative, or zero. a) g'(-6) b)…

Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: Sketch a graph of f(x) : -3 if a 2 5- 4 2 5 4 -3 -2 -1 1 2 3 4 -2 -3 -5-

A: For x≤ -1 , y is fixed at -3  For x&gt;2 , y is fixex at 3  For -1&lt;x≤2 , y=x  For this, we make a…

Q: 3) Graph the function -x x 2

A: fx=-x          x≤-2x+2   -2&lt;x&lt;24-x        x&gt;2

Q: Draw the graph of f(x): = 52+4 10 9 8 7 6 5 4 3 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Clear All Draw: 1…

A: Step 1y = 5xIt is an exponentially increasing functionAt x = 0 ==&gt; y = 1x --&gt; ∞ ==&gt; y…

Q: a) ƒ' (x) = = 1 for all 0 ≤ x ≤ 4. b) f'(x) > 0 for all 0 ≤ x ≤ 4. c) f' (3) = 0 d) f' (3) = 1 > > >

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Q: Make a Graph as x 0, f(x)-1 as x 0, f(x) →-2 as x →2, f(x) →2 as x →2+, f(x) →0 Bonus f(0)=-1 f(2)=1…

A: To create a graph with the given conditions using Python, we can use the `matplotlib` library.…

Q: Let f(x) = (x²-4x+1 if x < 2 √x-2 if x ≥ 2 Sketch the graph of y = f(x). -8-7 -6 -5 -4 -3 2 Clear…

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Q: a. Graph m(x) =x – 2 for x -2. 2 for x-2

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Q: Sketch a graph of f(x) = = 5 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: 7 -1 -2 -3 -4 - 1 2x I 2 1 2 3 4…

A: The given function is: f(x)= (-1/2)x -2

Q: Sketch a graph of f(x) = 2(x + 1)² — 2

A: The function is given as f(x)=2(x+1)2-2 .

Q: Suppose a, b, c, and d are integers, and that a is negative and odd, b is positive and even., c is…

A: Ans:Suppose a,b,c and d are integers a is negative and odd, b is positive aand even, c is positive…

Q: if x -1 x+3 Let f(x) = -2 Sketch the graph of y = f(x).

A: Here we have given a function: f(x)=x+3               if x&lt;-1-2                 if x=-1(x+1)2+2…

Q: Sketch a graph of f(x) 5 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 1 2 1 x - 2. 2 3 4 5

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Q: Sketch a graph of f(x) = 8 7- 6 5 Clear All Draw: 43 2 1 -8--7-6-5-4-3 -2 - -/-/- ₁ - -2 FN ~ -3…

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