4. Determine the possible pairs of values (a, b) which make the function below continuous everywhere. | 4x² f(x) = { 3b x < a X = a - 4x +3 x > a

Q: Find a function in general form with a vertex at (-1, -2) and passes through (3, 6). Hint: Start…

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Q: Describe the end behavior of the function f (æ) = -2x+ 3x2 – 5a + 1. f (x) as x → ,f (x)→ as x →

A: We have to describe the end behavior of the function f(x)=-2x4+3x2-5x+1.

Q: Locate and classify any extreme and inflection points of the function f(x) = 4x5 −5x4.

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Q: Show that the function f(x)= √6x-x² is continuous on the closed interval [0, 6].

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Q: The function f(x) is defined as f(x) = 2x + 5. What is the value of f(- 7/4)? a. -17 b. 3/2 c. 17/2…

A: given f(x)= 2x+5 f(-7/4)= 2(-7/4)+5 =-7/2+5 = -3.5+5= 1.5 = 3/2 f(-7/4)= 3/2

Q: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

Q: Find the values of a and b that make f continuous everywhere. b = f(x): x-2 ax² - 6x + 3 4x -a + b…

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Q: 7x – 1 Determine in which interval(s) the function h(x) is continuous. Justify %3D x2 +1 your…

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Q: 3. Give the function, f(x)=x²+5x-24 Find f(0) a. ut b. Find f(-1) Find f(-3) C.

A: Since you have asked more than one question. So as per guidelines I have done first one for you. If…

Q: Give an example of a real function that is increasing on the interval (0,2), and decreasing on (2,…

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Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

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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: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: Choose the interval where the function is positive. -4 -6 -2 2 2 4 -6 -00 < < 00 0<< 00 C -2 <<2 -00…

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