Consider the following function: - 4 if x < 2 I-2 f(x) = ar - bx +3 if 2 3 Find the values of a and b that make f continuous everywhere. Justify your answer by using the appropriate limits.

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Q: Use the piecewise-defined function to find the following values for f(x) 1-4x if xs - 2 f(x) = 4x if…

A: To find the value of f(x) at the given points we plug the value in the piecewise defined function.

Q: a) y = -3f(x) Domain: Submit Answer Incorrect. Tries 1/99 Previous Tries Range: Submit Answer Tries…

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Q: Use the piecewise-defined function to find the following values for f(x). 1- 4x if xs - 2 f(x) = 4x…

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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: 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: 58. Show that if f is a function and z = x+h, then f(2) – f(x) _ f(x+ h) – f(x) Z - x h

A: This question is taken from the function in which we have to prove the given equation. We can write…

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A: Topic = Functions As per guidelines , At  a time only three sub-parts can be answered.   1) An…

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Q: Suppose that f(x) is a function with f( – 1) = – 9 and f(3) = 9. Determine which choice best…

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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.