(-x? - 2х, х и -2 2) f(x) = (1, x = -2

Q: Describe the interval(s) on which the function f(x) = is continuous.

A: The given function fx=xx2+x+2 is in gxhxform. The numerator gx=x is continuous for all x∈-∞,∞ in its…

Q: Consider the function f(x) = 2.r3 – 2x2 – 4x + 8. -

A: It is given that, f(x)=2x3-2x2-4x+8   At inflection points, the second derivative of the function…

Q: Find the absolute extrema of the function f (x) = 30x – x² over the interval (-o, 00)

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Q: Where is f(x)= x³ differentiable? (interval)

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Q: For what value of the constant c is the function f continuous on the interval (-,00). Sa? – 3, x с…

A:

Q: Describe the interval(s) on which the function is continuous. f(x) = sec x/4

A: The denominator can not be 0.

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: Giveny = 5x2 + ln xwhere x > 0

Q: Describe the interval(s) on which the function is continuous.

A: Given: fx=xx+3

Q: f(x)=210, where is it continuous?

A: Given: fx=210 We know that graph of given function is horizontal line for every value of x

Q: If f is continuous and ∫31 f (x) dx = 8 , show that f takes on the value 4 at least once on the…

A: Given that f is continuous and ∫31 f (x) dx = 8. We have to prove that, f takes on the value 4 at…

Q: Describe the interval(s) on which the function is continuous.

A: Consider the piecewise function  f(x)=x2-1x-1,              x≠12,                      x=1 To check…

Q: Let f be a continuous function such that -6 [', f(x) dx = 9. What is the value of -3 f(x) dx = -10…

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Q: Find the intervals where f(x) is decreasing and increasing.

A: Given,            f(x) = 2 - exx - 6

Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

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Q: y -2

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Q: For what value of the constant c is the function f continuous on (-0, 00)? C =

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Q: - 3x + 1, x S 4 Find the value k , if the function ƒ (x) = is continuous at x = 4. -kx + 1, x > 4

A: We will find the value of k as following.

Q: Ex 2. Find the intervals of concavity for f(x)=x – 2.x³. 3

A: Given f(x)=x4-2x3 Differentiating with respect to x, f'(x)=4x3-6x2 Differentiating again with…

Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: 4) Find the intervals where the following function is concave down: ππι y = 2sin² (2x) - 4x, x € -

A:

Q: Find the interval of x-values on which the curve is concave up and concave down , then sketch the…

A: (1) Given a function, fx=x33+x2-3x

Q: •On what intervals) is the function y=-4x*+ (6x"n both increasing and cocave down?

A: Given,  The function  y = -4x2+6x17     We have to find the intervals in which function is both…

Q: Find the intervals where h(x)=x'+24r-168r2 is concave up and concave down. Σ BIU

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Q: Find the absolute extreme values of the function on the interval. 1) f(x) = tan x, - 7sxs6 4

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Q: Determine if the given function is continuous on the given point and intervals.                -x2…

A: The given function is  fx=-x2+4 , x&lt;02x2-5x , 0≤x&lt;37-x  ,    x≥3 We have to check the…

Q: For what values of a and b is -2, xS-1 f(x) = ax - b, -1 <x<1 3, continuous at every x?

A:

Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: The Intermediate Value Theorem that states if a function f(x) is continuous and k is any number…

Q: Q3) if the continuous function is : 4x+1 F(x) -+k at x= h. Find the value of h,k.

A: 3). Given function is:   fx=4x+1x&lt;hx3+kx=hx2+1x&gt;h Solution: A function fx is continuous at x=h…

Q: Find the intervals on which the function is continuous. 1 46) y 7x+ 6

A: Given a logarithm function:find the intervals on which the function is continuous

Q: f(a) = ca + 4 if a E (-∞, 2] I ca -4 if a e (2, 00) if a E (2, ∞)

A:

Q: Determine the intervals on which the function f(x)=e√x is convex upward and convex downward.

A: We find f"(x)

Q: Ex 4. Find the intervals of concavity and the inflection x² points for f(x) = x +1

A: To find The intervals of concavity and the inflection points of f(x)

Q: Describe the interval(s) on which the function is continuous.                            f(x) =…

A: fx=xx2+x+2 Since there is no common factors in the numerator and denominator, therefore there is no…

Q: Determine the values of a and b such that the function is continuous on (-00, oo f(x)-ax+b, -l<x<3…

A: We have to find value of a and b so that function is continous is given interval  (-inf,inf)Function…

Q: Q2/| By Simpson's rule, find the value of (In) approximatally, dividing the range into (10) equal…

A:

Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?

A:

Q: Find the constant a such that the function is continuous on the entire real line. (8x?, lax – 6, x2…

A: Given function f(x) = 8x2-x≥1ax-6, x&lt;4we find constant 'a' such that the function is continuous…

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: Find the intervals on which the function is continuous. f (x) = { %3D 3, x = 2

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Q: Consider the function y = 4ex + 7. What is the exact value of C in the interval [0, 5] such that…

A: We need to find value of C.

Q: On which interval is f(x) = x³ – 12x + 12 decreasing? ㅇ (-8;2) ㅇ (-8, +8) | O (-2,+0) O (-2, 2) O…

A:

Q: Find the value of a and b that will make the function continuous. for x 1/2

A: The function f(x)=1x,        for x&lt;-1ax+b,  for  -1≤x≤121x,         for x&gt;12. We have to find…

Q: 4. For each part, find a real value c that makes f continuous at x=0, if possible. If not possible,…

A: A function is continious , when at that point limit of the function exists , and thatlimit is equal…

Q: Find the intervals where f(x) = x -x is increasing

A: We use the first derivative test to find the intervals where the given function f(x) is increasing.

Q: Find the intervals on which the function f(x)=e−x3 is convex upward and convex downward.

A:

Q: On which interval is f(x) = x – 12x + 12 decreasing? o (-2, 2) o (-00, 2) o (-0, -2) U (2, +0) ㅇ…

A: Let's find.

Q: Find the value k that makes the function continuous. S ka?, f (æ) = x > 2 ka + 4, г 2

A: Given thatfx=kx2         x&gt;2kx+4    x≤2We have to find value of K for which function is…

Q: Describe the intervals on which the function is continuous.

A:

Q: Determine the interval(s) where f(x)-In (5x+10) is continuous. It is continuous in the interval

A: