Suppose that p(x) = {24 + x, if x< 2) | 1+x², if x 2 2 Find a value of A such that the function p(x) is continu- ous at the point x = 2.

Q: f(x)%3DX²-2x+5

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Q: 2. Determine the roots of the following function and draw its graph f(x)=x^² - x³ - 16x² + 4x +48

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Q: Is f (x) = x2 + 2 one-to-one? If not, describe a domain on which it is one-to-one.

A: Given that the function is f (x) = x2 + 2   f(2)=22+2=6 f(-2)=(-2)2+2=6 So, f(2)=f(-2) So for two…

Q: Is the point (1, -2) on the graph of the function k(x) = x2 + (2&gt;x)?

A: Given, k(x) = x2 + (2/x) To check Is the point (1, -2) on the graph of the function

Q: 2.-1 fx(1 + x²³)¯¯¹dx 88

A: Given that ∫-∞∞x(1+x2)-1dx

Q: coming year. Total profit from planting xj acres at farm j is expressed by the function P(x,, X2,…

A: profit = 235x1 + 540x2 + 252x3 - 525000 we are given that x1 = 300 x2 = 600 x3 = 450

Q: Find the domain of f if 2x + 1 f(x) = 2x2 – x – 1

A: Given: fx=2x+12x2-x-1 Domain of a function is set of all values of x for which function is defined…

Q: An open-top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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…

Q: Is the point (4, 14) on the graph of the function g(x) = (x2 + 4)&gt;(x + 2)?

A: Given inequality is: gx=x2+4&gt;x+2 Given point is (4, 14).

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

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Q: Prove that x -2x+2>0 for value of x.

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Q: Determine the image of the function f(x)= (x2-12x+27)/x2-4x+5 for all x belongs to R. Solve the…

A: To determine: The image of the function . Concept used: Range  or Image: The image of the function…