Determine if the following functions are continuous at the given value of x. Show your solution. 1. f(x) = 3x² + 2x + 1 at x = -2 2. f(x) = 9x² -1 at x = 1 3. f(x) = 1/x-2 at x = 2

Q: 21. Determine the following function if continuous at 2x g(x) s6) = ; at x = 3 \x² – 4x + 3 A.…

A:

Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

A:

Q: Determine if the following functions are continuous at the given value of x. 1. f(x) = 3x² + 2x + 1…

A: Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: Determine the value for k that will make the function continuous at c = 4. x² – 9 if x 4

A: Left-handed limit of a function at a point is obtained by approaching the point from the left on the…

Q: Suppose that f( is a continuous function. If f(#) da=4, then what is the value of T - f(x)] dæ ?…

A: To evaluate the given definite integral.

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

A: A polynomial function is always Continous in its domain

Q: DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a.…

A:

Q: Determine whether the following function is continuous at the given point 1 = 2x+11x f(z) = 2x 13

A:

Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

A:

Q: Find the value of the constant a that makes the following function continuous on (−∞,∞).   f(x)=…

A:

Q: Find the value a that will make f(x)={2x^2-7x+3/x-3  if x is not equal to 3…

A:

Q: Determine if the MVT applies to the function on the given interval. If so, find the points that are…

A:

Q: Determine if the following functions are continuous at the given value of x. 1. f(x) = 3x? + 2x + 1…

A: continuty

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: A function fx is continuous at x=a if its left-hand limit, right-hand limit, and fa are equal and…

Q: Suppose f is a continuous function where f(7) = 9 and f'(7) = 6 . The tangent line to the graph of y…

A:

Q: For all but two choices of a, the function (x) = x if xS a and x' ifx > a will be discontinuous at…

A:

Q: The graph of f(x) has a corner at (a, 1(a)) if f(x) is continuous at 'a and left-hand derivatives at…

A: In this question we will use basic of calculus i.e concept of continuity and differentability. We…

Q: Determine if the following function is continuous at the indicated number. 3. g(x) = { ( 3 – x, x 1…

A: It is continuous function problem.

Q: The function f(x)=(2-x)/(3) is continuous at

A:

Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x&gt;6 Since the function is a polynomial function for all x&lt;6…

Q: Determine if the given function is continuous at the indicated number x = c. |x-3| if x#3 4. j(x) =…

A:

Q: Determine if the function is continuous at the given point. Sx³ x 2) f(x) = at x = 2.

A:

Q: Determine if the given function is continuous at the indicated number x = c. 4-x 2-V 4, SE, if x+4…

A:

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

A:

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: Determine whether the following functions are continuous at x = 2: x 2 7x + 3 f(x) = 3x + 7

A: Determine whether the following functions are continuous at x=2

Q: f(x) = Vx-3

A: Given function is fx=x-3.

Q: Find for the following function: 1- y = etan'x 2-x'y+ x*y 2 at x = 2

A:

Q: Determine if the given function is continuous at a given value of x. 2. f(x) = x² - 4x – 2 at x = 1…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: and if the function is differentiable at x

A: The Given function is f(x)=x+33  ,  a=-3

Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

A: The function fx is continuous at x=a, if limx→a-fx=limx→a+fx It is given that fx=4x+16if…

Q: Find the value of the constant aa that makes the following function continuous on (−∞,∞).…

A: Since the function is continuous at every real number , so, it is also continuous at x=5Therefore,…

Q: Show that the function below is continuous at x 0 (cos x-1 f(x) D if x<0 5x, if x20

A:

Q: Find the sum of the constants A and B so that the following function is continuous at x 1. Bx2 + 2Ax…

A:

Q: 1. (x) = 3x + 2x +1 at x = -2

A: f(x)=3x2+2x+1

Q: 9. ✓ (at x = ()) (at x=-2) 10. ✓ 2 (for all values of x) (at x = 3) 8.

A: Given are the graphs of different functions. We know that, a function is said to be continuous if…

Q: f (x) = v2 – x at x = 1

A:

Q: Find the value of the constant cc that makes the following function continuous on (−∞,∞)(−∞,∞).…

A: We have been given a piecewise function and we need to determine the value of ‘c’ at which the given…

Q: Determine if the function is continuous or discontinuous at x = 2. x2 - 1, if x 22 h(x) = 2x-1, if…

A: We have to find

Q: For what values of the constant c is the function f continuous on (-o, )? Show your work. S ex + 4,…

A: Please see the answer below

Q: Consider the function fcx) = (メフチ 5 E- xet X if x >5 if メ=5 5-X S> X f! Is fe) continuous at x=5?…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Determine whether the following functions are continuous at x = 2: 17x + 3 13x +7 x<2 f(x) = x22

A: In calculus, a function is continuous at x=a if and only if all three of the following conditions…

Q: Suppose that a continuous function g satisfies: g(x)dx = 42 and | g(2x)dx = 12. 2 | #g(3x²)dx. Find

A:

Q: Show whether the following function is continuously differentiable: f(x,y)=x2y2

A:

Q: h(x) = x+1 %3D at x = 1 x2-1

A: Function f(x) is continuous at a point x=a :Function should be defined at x=a, and  limx→a-f(x) =…

Q: Determine whether each of the following functions is (a) continuous (b) differentiable. Show a…

A:

Q: 2. h(x) = at x = 1 x+1 %3D x2-1

A:

Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3

Q: Which of the following functions will not be continuous at x = -5? Select one: a. All of these…

A:

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.