Describe the type of discontinuity at x = -1, explain your answer. Use the definition of continuity to show that the function is continuo at x = 4.

Q: Directions: Find the derivative of the given function using the limit definitions. 1. f(x) = -3x + 5…

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Q: 2) Use the limit definition to find the derivative of the given function. y = 3r2 – 2x

A: Limit definition of derivative is f'(x)=limh→0f(x+h)-f(x)h

Q: the domain of f' in interval notation Ans 7d D = f-1 e. the range off' in interval notation ans 7e…

A: f(x) = x-235inverse y = x-235interchange x and y x = y-235solve for y y = 25x2+23f-1(x) = 25x2+23

Q: pute for the derivative of the function below for x = 0 X O 2-34- Answer:

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Q: Uncover the function f shown that the slope of the tangent line to the chart of f at any point (x,…

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Q: Let f(x) = x+0. Complete the equation below for the line L tangent to the graph of fat x = -6. x-1…

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Q: Determine wether the function is continuous at a=4. x2-16 hキX ナ.? hニx ナ? fox メー4 6.

A: our objective is to check the continuity

Q: | 35–38 - Finding Intersection Points Graphically (a) Graph f and g in the given viewing rectangle…

A: Authoring guidelines***…

Q: Use the first derivative test and the second derivative test to determine where each function is…

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Q: APPPLICATION: AM I CONTINUOUS AT THIS POINT? Direction: Determine whether the following functions…

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Q: x³ – 9x? 10. Find the intervals on which the function h(x)= is continuous. x³ – 5x² + 6x

A: Rational functions are discontinuous where the denominator is zero .  h ( x ) = f ( x ) / g( x )  If…

Q: y = 2x / 1-x2  Find the intervals where the curve is up and down

A: To Find the intervals where the curve is up and down. y = 2x / 1-x2

Q: Use the graph of f(x)below to answer the question. 3 On which of the following intervals is f(x)…

A: Given, Graph of the function f(x) We have to find the intervals where f(x) is continuous

Q: 2. Below is the graph of a function f(x). On the same set of axes or to the right, draw a rough…

A: Graph of f'(x)

Q: 7. Give three reasons why a function might not be differentiable at a particular value of x.

A: we will give three reasons why a function might not be differentiable at a particular value of 'x'.

Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: Which of the functions shown below is differentiable at x = -3? Select the correct answer below:

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Q: Refer to the function: f(x)=[x] dertermine f(-0.8)

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Q: 25. Show whether the following function is continuous et x = 0. 4x-9if x>-3 3x+6 if xs-3 f(x)=

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Q: 6. Given the function f(X) = ³ + 2x + x² + x* . Determine the equation of tangent line at x=1. Give…

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Q: Prove that the function z is continuo:as everywhere but nowhere differentiable except at origin.

A: The given problem is solved below in detail.