4. Given a function f(x) = 3x - 4 and the numbers xo = 2, L = 2, ε = 1. Then find a value 8 > 0 such that for all x satisfying 0 < x-xo| < 8 the inequality If (x) - L < & holds.

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A: A piecewise function f(x) has a different relation between x and y in different domains of x as per…

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A:

Q: 4.- Let be the function f defined by the rule f(x) = 5x³ + 2x² - x + 10 Find f(x) in f(0.5) f(-4)…

A:

Q: Suppose that the function fis defined, for all real numbers, as follows. f(x) = x-3 if x -2 Graph…

A:

Q: Given the function: (x² + 5x-2,-4<xs-1 7x+|-x|,-1<x<3 f(x) = {²7²x i. List ALL the elements of the…

A: Concept Used: Domain: The set of all x--values that a function passes through. Also, the left…

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A: (a)The given functions are

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A: To remove discontinuity we need to factor numerator and denominator.

Q: Express the inequalities xs 3 and -1sx< 4 in interval notation.

A: x≤3 and -1≤x&lt;4 The first inequality means x values less then and equal to 3. For equal to sign…

Q: Find the length of the graph of f(x) - + 1 1≤ x ≤4

A:

Q: 2. Let a, b be real numbers for which b > a. Let functions f,9,h be defined on a domain [a, b] in…

A: Solution is here

Q: 13. The interval for function -(x+5)/2<(12+3x)/4 is (- 00,-22/5) (-22/5,00 ) (- 00,-22/5] 0(-22/5,00…

A:

Q: 2. define the functions f(x1, x2) = x1x2 the largest and smallest value in the set x12 + 4x22 = 8.

A: Given function is fx1, x2=x1 x2   To determine: The largest and smallest value in the set…

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A:

Q: 1) Which set of values for x should be tested to determine the possible zeros of the function f (x)…

A: We need to find possible x values that needs to be checked where function is zero.   NOTE - As per…

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Q: Identify the number of zeroes and the max number of extrema for the following function. g(x)= 3x²…

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Q: 2. Evaluate the piecewise defined function at the indicated values. x2 + 4x if x s -3 Ax) = {x if -3…

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Q: The following is the graph of the function f(æ) = { 4+x – x2 if x 2 if –1 < x < 2 3x - -4 0- -5 -10…

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Q: If f(x) = f(-3) = f(0) = f(2)= 2x-1 x²+3 for x ≤0 for x>0 " evaluate the following.

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Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

A:

Q: Let f(x) = 8x+13 and g(x) = x2 - 5x. Find the following. Give the domain of each using interva %3D…

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Q: Evaluate the following piecewise function for x=-4 and x 8 x+1 ifx<4 f(x) x-2 ifx24 f(-4) = 4, f(8)…

A: In this question we need to evaluate the given function for given value of x.

Q: -6 -5 -4 -3-2 -/ -4 -5- { if -6 < x < – 1 f(x) = { if -1 < x < 3 { if 3 < x < 6

A:

Q: Determine the values of x for which 2x + 5 18

A: Q