Find the values of a and b that make f continuous everywhere: x²-4 if x < 2 x-2 f(x) = ax? – bx + 3, if 2 3 -

Q: Describe the end behavior of the function f(x)= √7x

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Q: The function f (x) = x4 +x2 +x is an evenfunction. Justify your answer.

A: fx=x4+x2+x A function fx is said to be an even function if f-x=fx.

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

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Q: A.INSTRUCTION: Evaluate the following Functions (2): fx)= 2x - 6x + 5 /(- 6): f(x) = V3x – 5 S(4):…

A: Topic - functions

Q: 8-4 Identify all the points of discontinuity of the function ()%D 4)/(4x3-x)]. Classify each type of…

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Q: can you explain for what values of x is f(x)=x3-9x2+9x concave up?

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Q: Given f(x) = 3x²– 12 and g(x) = 2x + 1. Find g(f(x)).

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Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: Evaluate f +3 /1+x4 3 dx.

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Q: Differentiate the function. f(x) = 16ã – 3 + 2x Select one: 4x5/4 + 2 4 – 1 64x5/4 + 2 4 + 2 4.

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Q: Let f(x) = 3-4x. Find f(-2). f(-2)% =

A: Let f(x) = 3 - 4x, We have to find the value of f(-2)

Q: Let f(x) = 2x + 3x? + 5x + 5. Find f(3 + V2).

A:

Q: Find f(12) - f(-12).

A: Given:f12-f-12fx=x+3        if  x≥58             if   x&lt;5

Q: If f(x) = x²-x+3, then f(-2x) equals A. 4x² - 2x + 3 B. -4x² + 2x + 3 C. 4x² + 2x + 3 D. 2x² + 2x +…

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Q: Derive the following function (x² + y³)6 + 6x²y³ = 3y %3D

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Q: Draw the function of y = x 2 / 3 + x2

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Q: (5 g(x) = (2x - 3 if x 2 b. g(0) a. g(-3) C. g(2) d. g(3) e. g(5)

A: Here we have to evaluate the given function

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.