6. Sketch an even continuous function with all of the following features: • Absolute maximum at 6 • Zeroes at x = 3 and x =-3 y-intercept at 2 3 turning points

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

A:

Q: d) A function with no absolute extrema but with a local minimum of -5 at x = 4 and a local maximum…

A: Follow the procedure given below.

Q: Sketch the graph of a function f on [0, 4] with a discontinuity such that f has an absolute minimum…

A: To Sketch the graph of a function f on [0, 4] with a discontinuity such that f has an absolute…

Q: Consider the function f(x) = 4 – 5x", – 3 < x < 2. - - The absolute maximum value is and this occurs…

A:

Q: Use the given derivative to find all critical points off, and at each critical point determine…

A:

Q: 1. Given the graph of f', the derivative of f, locate all extrema of f. JUSTIFY. Minimum at x =…

A: To find the minima and maxima from the graph of f'(x)

Q: 2) Sketch the graph of a function f that is continuous on [1,5] such that f has absolute minimum at…

A: A continuous function in a closed interval is a function whose graphs do not have any breaks in…

Q: Consider the function f(x) = 3 – 5x², – 5 < x < 1. - - The absolute maximum value is and this occurs…

A:

Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

A:

Q: How do you determine the absolute maximum and minimum val-ues of a continuous function on a closed…

A: How do you determine the absolute maximum and minimum values of a continuous function on a closed…

Q: The function y = 1/x does not take on either a maximum or a minimum on the interval 0 &lt; x &lt; 1…

A: Extreme Value Theorem:If a function f(x) is continuous on a closed interval [a,b], then f(x) has…

Q: Is there an unbounded function f:[0,1] →R where it is discontinuous only at a single point in [0,1…

A: f: [0, 1] →R Domain: [0, 1] The function is discontinuous at a single point of the domain.   Let's…

Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

A: Given Data The function is y=1-eˣ/ eˣ+1.   Differentiate the function y=1-eˣ/ eˣ+1 with respect to x…

Q: Sketch the graph of a function on [-1, 2] that has anabsolute maximum but no absolute minimum.

A: According to the given information, it is required to sketch the graph of the function on [-1,2]…

Q: 49. Is the function given by g(x) = x² 3x continuous at x = 4? Why or why not?

A: Given: g(x)=x2-3x Determine the limit at x=4. limx→4g(x)=limx→4(x2-3x)

Q: Determine whether the following statement is true or false, and explain why. The secant function has…

A: Given: Statement: The secant function has an infinite number of critical points where an absolute…

Q: Sketch the graph of a differentiable function y = ƒ(x) that has local maxima at (1, 1) and (3, 3);

A: given that a differentiable function y=f(x) and has s local maxima at (1,1) and (3,3) local maxima…

Q: If the function is defined y=2x when x=3, is this function differentiable at x=3? Also, is this…

A:

Q: Sketch the graph of a function on the interval [3,9] that has an absolute maximum at x=5 and an…

A: Ques:-   Sketch the graph of a function on the            intervel 3,9 that has as absolute…

Q: Give an example that: the function f has a local maximum at x = 1/2, but it is not differen- tiable…

A: Consider the function:

Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: Sketch the graph of a continuous function ƒ on [0, 4] satisfyingthe given propertie. ƒ'(x) = 0 at x…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: f(x): at x = 3 X-3 f(x) = at x = 0 f(x)%3D%x6 at x - 0

A:

Q: Suppose that f(x) is a continuous function with the following values: 2 3 4 5 f(x) 2 -5| 9 5-9 1 -8…

A: Given that fx is continuous function. We draw the graph from given data

Q: Use the given derivative to find all critical points off, and at each critical point determine…

A:

Q: Sketch the graph of a function that has neither a local maximumnor a local minimum at a point where…

A: Sketch the graph of a function that has neither a local maximumnor a local minimum at a point where…

Q: 6. Sketch an even continuous function with all of the following features: ✔✔✔✔ • Absolute maximum at…

A: We have to draw graph with given information.  Even function means symmetric about y axis.  Y…

Q: 2. Shows that the function f(x)- x2-9 is continuous at x = 0, but has removable x-3 discontinuity at…

A: This question is taken from the limit in which we have to check the continuity at x=0 of the given…

Q: Use the given derivative to find all critical points off, and at each critical point determine…

A: Given f'(x)=8-9xx+93 The objective is to find the critical points.

Q: If f is a continuous, odd function and f(c) is a relative maximum, then f(-c) is a relative minimum.…

A:

Q: f(x): 2x at x = 4 x2-3 f(x) = V3x - 10 at x = 2

A: According to question,a. Given function,fx = 2xx2 - 3

Q: If the graph off is increasing before x=c and decreasing after x = c, then the function has relative…

A:

Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

A:

Q: Find the absolute maximum and minimum assuming the function is f(x) = 2x^4 - 8x + 3 on interval…

A: f(x)=2x4-8x+3

Q: Find the absolute maximum for the function over the specified domain. y = a² +1 over [ – 1, 4]…

A:

Q: Sketch the graph of a function on [-1, 2] that is discontinuous but has both an absolute maximum and…

A: There are many ways to draw the graph with given conditions. One such a graph is as shown below.

Q: : Find the value of k that makes function continuous at x = 4 %3D 3x + 6 x > 4 f(x) = 6x – k x < 4 -

A: To find: The value of k

Q: 3. Give an example of a function with discontinuities at x =1 and x = 5.

A: To Find : A function that has discontinuities at x=1 and x=5.

Q: -, Determine the location and values of the absolute maximum and absolute minimum for the given…

A:

Q: Sketch the graph of a continuous function ƒ on [0, 4] satisfyingthe given propertie. ƒ'(x) = 0 for x…

A: Given: Function is continuous on  [0, 4]  and, ƒ'(x) = 0 for x = 1 and 2; ƒ has an absolute maximum…

Q: 3. Investigate the existence of local maximum and or minimum point(s) of the function f(x; y) =x -x…

A: Given: f(x, y)=13x3-x+xy2

Q: It is possible for the absolute maximum of a function on a closed interval to occur at:

A: An absolute maximum must occur at a critical point or an endpoint, and x = 0 is the only such…

Q: If f(x) has a relative minimum value at x = 4, then f'(4) = 0 or f'(x) is undefined at x = 4 Select…

A:

Q: local

A:

Q: The function f(x) = 1+x has a local minimum when a = 0. Select one: O True O False

A:

Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

A:

Q: f(x)=√√x at x = 7

A:

Q: () Determine the points at which fhas a local maximum/local minimum (if any). 4x – 2 f"(x) = (g)…

A:

Q: 2. Give an example of a function f: (0, 00) → K that is continuous and bounded but does not achieve…

A: It is an usual example which derivative not vanish anywhere

Q: What conditions must be met to ensure that a function has anabsolute maximum value and an absolute…

A: Given, To write conditions that must be met to ensure that a function has anabsolute maximum value…