Select all of the graphs that depict a function which is not differentiable at x=0.

Q: Given the graph of f', the derivative of f, locate all extrema of f. JUSTIFY. Minimum at x = because…

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Q: 30. Consider the function defined by 0ifx 1 Sketch this graph and find all points where the graph is…

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Q: Find all points where the function is discontinuous. 5)

A: Given query is to find the value of x where function is discontinuous.

Q: Give a function that does not have an inflection point at a pointwhere f ″(x) = 0.

A: Example  f(x)=x4

Q: Consider the function defined on the indicated interval. f(x) = 2x – 30x + 144x – 220, [5, 8] %3D…

A: To find maximum and minimum of the given function in interval [5, 8] fx=2x3−30x2+144x−220

Q: f(x) = at x = 1 X-2

A: A polynomial function is always Continous in its domain

Q: Sketch the graph of the function f(x). f(x) is continuous from the right at x = 3, but not from the…

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Q: Find the domain of function defined as follows. y = ln(x2 - 16)

A: y=lnx2-16Domain:       The domain of a function is the set of all possibleinputs for the function

Q: Find the intervals on which the function y=xx(x>0) is increasing and decreasing.

A: We take ln on both sides of the function

Q: Determine from the graph whether the function has any global extreme values on the interval [a, b].

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Q: Find the points of discontinuity of the function f(x)={1−x2,x<0x+2,x≥0 if they exist.

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Q: y = x² /9 – x

A: x=0 y=0   x=1 y=(8)^(1/2)   x=2 y=4((7)^(1/2))   x=3 y=9((6)^(1/2))

Q: Find the points of discontinuity of the function f(x)=arctan1x if they exist.

A: The given function is not defined at x = 0. Now the left hand limit at x = 0 is, And the right hand…

Q: Find the length of the curve of the graph of the indicated function. y = In(sen x), between points…

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Q: 10. Identify three characteristics to the graphed function of f (x) = (÷) +1.

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Q: Graph the functions in excercise

A: Solution:Giveny=9-x

Q: List the x-values in the graph at which the function is not differentiable. -3

A: In this question with the help of graph theory we have to find the points where function is not…

Q: Find a function f such that f (x) = 2x3 and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A: Key point used: The slope m, of the tangent to f(x) at point h,k, is equal to f'x=h. Given:Eq of…

Q: At what points is the function is continuous y=|2x-1| +4sin(2x)

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Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Finding the g'(4) from the given conditions.

Q: Use the graph of the function to estimate the interval on which the function is decreasing y Enter…

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Q: f(x) at x = - 3 X-3

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Q: Find a function f such that  f '(x) = 5x3  and the line  135x + y = 0  is tangent to the graph of…

A: Consider the given derivative function f'x=5x3

Q: determine from its graph if the function is one-to one.

A: fx=1-x2,x≤0xx+2,x>0

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: The graph of a function is said to be continuous if the value of the function exists for all values…

Q: Find a function f such that f'(x) = 2x³ and the line 54x + y = 0 is tangent to the graph of f. f(x)…

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Q: Suppose g is the function defined by picture where k and m are constants. If g is differentiable at…

A: Solution

Q: at is the graph of the function

A: Given that: f(x)=4-xx+2

Q: Determine from the graph whether the function has any absolute extreme values on the interval [a,…

A: To determine if the function has absolute value on the interval.

Q: Sketch the graph of f(x) = x lxl. Then show that f '(0) exists.

A: A function is a relation which maps each value in domain to exactly one value in range.  For a…

Q: Sketch a rough graph of the function without using acalculator.   y=   -In x

A: To Determine: Sketch a rough graph of the function without using a calculator. Given: we have y=-lnx…

Q: Match the function with the graph of its end behavion

A: We are given with the graph we have match and behavior of graph

Q: Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2.…

A: Consider the given information as The graph of fxto be concave up at x=2. Concave down.

Q: The function f  whose graph is given has a discontinuity at x=4 since  does not exist. Prove true…

A: Topic:- function

Q: Is the function given by f(x)=x^2+3x/2x-1 continuous over its domain?

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Q: The tangent line to the graph of a function f at the point x =2 has x-intercept 10/3 and y-intercept…

A: Given query is to find f(2) and f'(2)

Q: Use the graph of y = f(x) to answer the question regarding the function. Step 4 of 4: Is f(x)…

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Q: The graph of  f(x)  and a line tangent to the curve at  x = 4  are shown. If  g(x) = sqrt(f(x))…

A: In the question it is asked to calculate the value of g'(4) for g(x)=f(x). for the graph given…

Q: f(x) = х-16 at (5,8) Vx-4

A: We have given function fx=x-16x-4 and point 5,8.

Q: Compare the graphs of the functions. Y1 = In(2x) and Y2 = In 2 + In x

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Q: Determine if the function is continuous or discontinuous at x=2. h(x) = x - 1, if x 22 2x- 1, if x<2…

A: if Left hand limit and right hand limit are equal then function is…

Q: sketch the graph of a function that is continuous everywhere except at x=3, and is continuous from…

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Q: Sketch the graph of the function. Incl y = tan(4x) %3D

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Q: Use the graph to determine the values of x at which the function is not continuous.   x=

A: Given the graph of the function

Q: Sketch the graph of a differentiable function y = ƒ(x) through thepoint (1, 1) if ƒ'(1) = 0 and…

A: Consider the given condition as f'1=0 and f'x&lt;0 for x&lt;1 and f'x&gt;0 for x&gt;1

Q: Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f. f(x)…

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Q: Which of the following functions passes through the point (0,12) and satisfies f'(x)=8 ?

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Q: From the graph of f(x), state the reason why f(x) is discontinuous at x = 4 , x = 0 , x = 2 and x =…

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Q: List the points in the graph in the interval -1<x<7 at which the function is not differentiable.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: