– 4x + 8 if x < 2 Let f(x) = – 5x + 5 if x > 2 Find lim f(x) , if it exists. I2 O-5 O DNE 05

Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: Consider the function f(x)=3x+8 on the interval [2,10]. Find the average or mean slope of the…

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Q: Given the parent function f(x)=x², describe the translation of g(x)=x²-8

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Q: Show that x – P VB + (d - x)* g(x) is a decreasing function of x.

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Q: 3. Let f(x)=x2+kx and g(x)=x+k . The graphs of f and g intersect at two distinct points. Find the…

A: Simple graph intersecting problem....

Q: Find the value of x where the fuction is discontinuous.     f(x)= x2 + 3 if x>2       = 3x + 1 if…

A: We have given the function

Q: Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h…

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Q: Find the minimum value for p(x) = -x2 – 24x on the interval [-6,-1]. JUSTIFY YOUR ANSWER.

A: px=-x2-24x Differentiating with respect to x, we get p'x=-2x-241=-2x-24 Now to find critical values,…

Q: Let ƒ(x) = 2x2 + 5x and g(x) = 4x + 1. Find g[f(x)]

A: Given: fx=2x2+5x . gx=4x+1 . gfx can be calculated by replacing the x by fx in the function gx as,…

Q: Find the absolute maximum and absolute minimum of the function f(r) =r² - 8z+7 over [1, 8].

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Q: Given the function f(x) = x³ – 3x² – 10, determine the absolute maximum value of ƒ on the closed…

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Q: Find f ogo h. Show all of your work for full credit. f (x) = , g (x) = x², h (x) = x² + 2

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Q: If a and b are positive numbers, find the maximum value of f(x) = x(8 – x)º on the interval 0 < x <…

A: Given: f(x)=xa(8−x)b To find the maximum value find all the critical points. Critical points are…

Q: The function f(x) is convex over its domain. Consider the function g(x) = -10f(x). classify g(x)…

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Q: 3. Consider the relation f (x) = 2x² – 4. Find the f(x). Be sure to use proper notation.

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Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

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Q: Find the x that maximizes the function f defined as f(x) = x¹/2 - 2x 1/3 1/4 O 1/8 1/16

A: The derivative will be zero at the minimum and maximum points because the line turns to be parallel…

Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: Find where f(x) = 1-ax x(x-a)(x+b) is discontinuous.

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Q: Find f(x) + g(x) for the following functions. Do not include spaces in your answer. Ax) = 3x + 1,…

A: Given :  f ( x ) = 3 x + 1  g ( x ) = 2 x + 8    find :  f ( x ) + g ( x )  = ?

Q: Find Vx2 +8-3 lim X-1 x + 1

A: Limits question