Determine where the function f(x) = 7x-6 is continuous. The function is continuous on (Simplify your answer. Type your answer in interval notation.)

Q: f (x) = 2x² – x + 6

A:

Q: Describe the interval(s) on which the function is continuous. f(x) = 3 − √x

A: Given function is

Q: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: a rational function f(x)=p(x)q(x)   is discontinuous at point wheher q(x)=0

Q: Describe the interval(s) on which the function is continuous. f(x) = (x + 1)/√x

A: We can not have negative number inside the square root.  So, x≥0   And we can not have 0 in the…

Q: Given the function f(x) = 2x + 6x?, determine all intervals on which f is both decreasing and…

A:

Q: Determine if the given function below is continuous at x-2. Attached your complete solution and…

A: Topic = Continuity

Q: Determine the domain of the function and prove that it is continuous on its domain using the Laws…

A:

Q: Consider the following function. y = x2  divided by x2 - 36 a.) Describe the x-values at which the…

A: Given:y=x2x2-36To find:The x-values at which the function is differentiable using interval notation.…

Q: Find f(2) Is f continuous at x = 2? Explain your answer.

A: Given function

Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

A:

Q: Determine if the function is continuous at the specified point. If it is discontinuous, what type of…

A:

Q: Find the functions and their domains. (Enter the domains in interval notation.) f(x) = x + 1/x,…

A: Given, f(x)= x + 1/x  f(x)= (x²+1)/x For the function to exist the denominator must not be equal to…

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

A:

Q: How to determine whether the function is continuous or not at a given point x = a ? x ≤ 1 (3x5 - 1…

A:

Q: Evaluate and tell whether the given function is continuous or not. 1. f(x)=Vx+ 3 at x=3 2. f(x)= x-9…

A: Let's Solve,

Q: Find the constant a such that the function is continuous on the entire real line. f(x) = √5x², x ≥ 1…

A: We need to find a.

Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1…

A: topic - limits and continuity

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A:

Q: At what points are the functions continuous? x + 3 f(x) 2 - et

A: The given function is fx=x+32-ex

Q: 5x

A: G

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: Consider the function g(x)= x'e 2 Determine the intervals of concavity of the function.

A: Given : Function gx = x2 e12x   To find : Interval of concavity for the given function?

Q: Given f(x) = Vx and g(x) = |x – 2|, find 9. Determine the domain of the function in interval…

A: Given function :

Q: where is the function f(x)= llxll-2 continuous (or discontinuous)?

A:

Q: what is the mathematical condition for the function to be continuous at a certain point c?  is the…

A: A  function is said to be comtiuous at a point x=c , in its domain if the following three conditions…

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: Determine if the function is continuos. If the function is not continuous, find the x-axis location…

A:

Q: Determine where the function f(x) is continuous. f(x) = /2-x

A: We have to determine where th function f(x)=(2-x)^(1/3) is continuous

Q: Determine where f(x) is continuous, algebraically. Enter the answer in interval notation.

A: Given data: The expression for the given function is f(x)=log18(10x+150)-7x. The given function is…

Q: f (x) = 2x² – x + 6 -

A: The given function,   f(x)=2x2-x+6

Q: V16-x2 f(x) = at (-3,-1) x+1

A: Given function is fx=16-x2x+1 The interval is -3,-1 We know that function is continuous in any…

Q: Find the value a that makes the following piece-wise function continuous.

A:

Q: Is f continuous at x = 2?

A:

Q: Determine the intervals on which intervals the function f(x) = x² – e² is concave up or concave…

A: Here, the function is  f(x)=x2-ex

Q: Use the graph of f to find the interval(s) on which f is increasing, Where applicable, use interval…

A: A function is said to be increasing if the output of the function increases with value increases…

Q: Find the constant a such that the function is continuous on the entire real number line. Sx³, x 9

A: The value of a = 9. First of all, consider the given function. For the function to be continuous the…

Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

Q: а. Determine the discontinuities of the following functions and state why the function fails to be…

A:

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: Redefine the function f to make it continuous at x = 0. -8x + 36 + x (х — 4) ; x + 0,4 f(x) = 4; x =…

A: Consider the condition for continuity.

Q: (b). Determine whether the function is continuous or discontinuous at the given x-value. x²-3 x=-5…

A: Given function is

Q: Determine the discontinuities of the following functions and state why the function fails to be…

A:

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A:

Q: -x, x±1 f(x) = 0, x= 1

A:

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

A:

Q: x3-9x f (x) = c = -3 x² +11x+24

A: Given function is fx=x3-9xx2+11x+24. To determine whether function is continuous at c=-3. Solution:…

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.