Determine if the following function is continu 3x+1; x>5 f (x)={ 5x-1. x5 a) 5х-1 ;a = 5 x+1 3x -x-7; if x>-2 | c) f(x)= ;a =-2 %3D 15-10x; if x<-2

Q: Find the slope of the secant line between x = 3 and x 5 on the graph of the function f(x) = -2x2 +…

A:

Q: Find the extreme values on the interval:   f (x) = 6x4 − 4x6, [−2, 2]

A: Derivative determines the change of variable with respect to another variable. When we equate first…

Q: Graph f (x) = 3x. Where should the graphs of f (x) = 3x + 2, f (x) = 3x - 3, and f (x) = 3x - 7 be…

A: Consider the given: fx=3xfx=3x+2   Shift 3x up to 2 unitsfx=3x−3   Shift 3x down to 3 unitsfx=3x−7…

Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: what value of x will be found in the domain of function f(x) = 10/x-2

A: To find Domain , f(x) should be defined.

Q: A company estimates that it will sell N(x) units of a product after spending $x thousand on…

A:

Q: Find f'(2), if f(x) = In(2x³ – 3x).

A: Given,          fx=ln2x3-3x

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

A:

Q: Find the maximum or minimum value of the function. f(x) = 2x2 + 4x - 1

A: We know, for a quadratic equation of the form ax2+bx+c=0,a&gt;0 the minimum value is obtained at…

Q: f(x)= 2x² – 8x- 3 on the given interval [1,3].

A: Given f(x)=2x2-8x-3 on [1,3]

Q: What are the points of intersection of the graphs of the functions f(x) = - 3x + 2 and g(x) = x2 -…

A: At the point of intersection of two graphs, the value of both the function is equal. So, equate f(x)…

Q: Find where function is increasing and decreasing, and graph the function. f(x)= x4-10x3-33x2+90x+216

A: The given function is

Q: Find the maximum or minimum value of the function. f(x) = 3 - 4x - x2

A: f(x) = 3 - 4x - x2

Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

A:

Q: Find the equation of the line tangent to the graph of f(x)=5x^{3}+6x^{2}-6x-3

A: This question is related to functions, We will solve it using given information.

Q: Find the range of the quadratic function f(x)= -x^2+4x-6 interval notation

A:

Q: Find the value of the constant k that makes the function continuous. 2x - 5x - 25 if x +5 g(x) = х -…

A:

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

A: for the function f(x) to be continuous, the f(x) must be continuous at x=3Then,2x+9x-1 =-4x+c2x+9x…

Q: Find the slope of f(x)= (x^2-1)-(2x-3) at x=2

A:

Q: 1. If f(x) = 5x4 - 6x² + 4x - 2 find f'(x) and f'(2).

A:

Q: Find the minimum value of the function f(x) = 2x² + 18.3x + 45 to the nearest hundredth.

A: Given function f(x)=2x2+18.3x+45

Q: what is the value of f’(0) if f’(x)=(x^2-2x-1)^2/3?

A: We have to find value of f'(0).

Q: Find the range of the function f(x) = x² - 2x - 4.

A:

Q: Find the interval in which the function given by y = 4x3 - 6x2 – 72x + 30 is decreasing. O A. (-…

A: Given that the function is      y = f(x) = 4x3-6x2-72x+30 Here we have to find the interval in which…

Q: Find the maximum value of the function f(x)=x3+3x2-9x attains in the interval [-4, 3].

A: Differentiate the given equation as, f'(x)=x3+3x2-9x=3x2+6x-9=3x2+2x-3=3x2+3x-x-3=3xx+3-1x+3=3x+3x-1…

Q: Find the intervals in which the function f(x) = 4x -6x² +3 is increasing /decreasing.

A:

Q: The maximum value of the function f(x)= x3-5x-4 occurs at

A: Given function fx=x3-5x-4

Q: Find the points of inflection of the function f(x)=2x4−3x.

A: Inflection point is a point on the graph of function f(x), where the second derivative f''(x) is…

Q: Find the slope of the graph of the function at the given point.                        f(x) = 27/x3…

A: Given: fx=27x3Point3,1

Q: find inflection point for the function f(x)=x^3-6x^2+15

A: we have to find the point of infection for the given function

Q: the function f(x)=x^3-3x^2+5x has neither maximum nor minimum?

A: Consider the given function. fx=x3-3x2+5x Find the derivative of the function. f'x=3x2-6x+5x Put the…

Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: Find the points of inflection of the function f(x)=x3−3x2−1.

A: Given

Q: State the intervals of increasing and decreasing behavior in the function f (x) = x 3 + 2x² – 4x +…

A: The function is fx=x3+2x2-4x+5.   Differentiate the function with respect to x.…

Q: The graph of function f(x) = 5x – 7x² – 8 is concave - downward on

A: For the given Function  f(X) is concave downward on (-∞, 7/15)  So none of the options is correct.

Q: find the range of f(x)=x−4/x2−16

A:

Q: find the range of f(x)=x-8/4x+2

A:

Q: Find the point(s) of inflection of the function:  f(x) = 3x5-10x4+7

A: Answer and explanation is given below..

Q: Find all critical points of the function f(x) = 12x5 − 20x3

A:

Q: Find the maximum or minimum value of the function. f(x) = −x2 + 10x − 14

A: The given function is

Q: Find the point(s) of inflection and intervals of concavity for: f(x) = x* – 7x³ + 18x² +7

A: We have to find the inflection points and interval of concavity for the function fx=x4-7x3+18x2+7.

Q: Find the slope of the graph of the function f (x) 4(5x + 6)² at x = 3.

A:

Q: Find the value of the constant k that makes the function continuous. 2x - 3x- 20 if x#4 g(x) = x-4…

A: A function f(x) is continuous at a point x = a iff:

Q: Find the mascimum or minimum value of the function. F(x) = 2x² + 8x - 1

A:

Q: If f(x)=(2m-8)x-4 is a constant function m =?

A: We have been given a function f(x) = ( 2m - 8 )x - 4. For which value of m is f(x) a constant…

Q: Find the interval in which the function given by h(x)= 4x – 6x – 72x + 30 is decreasing.

A:

Q: Graph the function on the interval [-5, 1). f(x) = [[x+5]] 5- 4- 3 V

A: Break the function as a branch function as in next step.

Q: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.

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.