Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) = 4, f(5) = 5, f(-1) = 3 lim f(x) = 6, X-5+ lim f(x) = 4, X-5- y x 1 O -5 -5 6 2 6 2 5 -5 y 6 2 5 x y 2 6 x 5 -5 2 5 x

Q: 1. Show algebraically that f (a) -7x +3 is a one-to-one function |

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f (x) = x² − x − 2 X x+2

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Q: 39,

A: Step 1:To show that the function f(x)=6x−2 defines a one-to-one (injective) function, we need to…

Q: * 9) f(x) = -0.1(x + 1)²(x - 2)³

A: To sketch the graph of the following function. fx=-0.1x+12x-23

Q: Determine the end behavior of the graph of the function. 1 x*-9x-x +7 3 4 3 f(x) = As x + - 00,f (x)…

A: Please see below.

Q: Use the graphs of f and g to evaluate g(f(2)) y 01 00 (-2,1) g (2,4) (2,-2) (4,3) X

A: We have to find out the value of g(f(2)) using the given graph.

Q: Use the graphs of f and g to evaluate the functions. (a) (f.g)(1) (b) (g. f)(3) A 3 2 1 X y = f(x) 1…

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Q: 2 +x if x < -2 Let f(x) = {x2 if -2 sx< 2. 6 - x if x 2 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: (c) Find f-1. f-1(x) = X , x20

A: We plug f(x)=y then switch x and y. f(x)=x+4y=x+4x=y+4

Q: 2. Consider the following piecewise-defined function. (2x? + 1, xs2 fx) =}1 įx-1, x>2 Part A: What…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Use the graph to determine the values of a for which lim f(x) does not exist. (Enter your answers as…

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Q: 2. Sketch the graph of the piecewise defined function x² for x 0 Evaluate f(5), f(0), f (-3). g(x)…

A: Given : g(x)=x2for x&lt;0-3for x=0-2x+3for x&gt;0