1 if |x|<1 lo if 1<|x|<< 2 7. f(x) = f(x + 4) = f(x)

Q: 1. Let f(x) = 2x² + 1 and g(x) = [x]. Find the following. (a). What is (f ○ g)(x) = f(g(x)) = = (b).…

A: We Know that,  Greatest Integer Function is a function that gives the greatest integer less than or…

Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

Q: f(x) 2x²1 x>-1 -x³ x < -1 Is this function continuous at x= -1

A:

Q: Consider the function f(x) the difference quotient = 7 x²+1/ 3 4 -X-2. Compute f(xo+h)-f(xo) h

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Q: f(x) = x* + x³ – 2x² For the above function state all intervals of x where f(x) is decreasing.

A: We know that if f'x&gt;0 at a specific value of x, then the function f(x) is decreasing at those…

Q: Define Sx² – 5 if x 1 Calculate f(2).

A:

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: un 5 (2) = 2² - 82 and 9(2) = {-2₁" 22-5 x-1, x Evaluate(f/g) (7)

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Q: F(x)=6-2x, 1<x<5

A:

Q: Is the following function continuous at x = 2? Explain why or why not. x2 +x – 6 - :x > 2 f(x) = x –…

A:

Q: Find removable discontinuities in f(x)=9x5-3x2+1

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

Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

A:

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

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Q: state all intervals of x where f(x) is increasing.

A: TO FIND INTERVAL WHERE f(x) is INCREASING FIND f '(x) and see interval where f '(x) &gt;0 f(x)…

Q: Use Intermediate Value Theorem to check whether f(x) x- 2x -1 has at least one zero between x= -1…

A:

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

A:

Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,