B. Determine the intervals wherein the function is continuous and the values of x whereir there is discontinuity. Identify the conditions of continuity that are not satisfied. 7. 8. y 10. -2 0 alus (Second Editio

Q: use the graph of the function to find the domain and range of f and each function value. Number 7…

A:

Q: 11. This function: y 4 12 -4 -2 0 -2 -4 O 2 4 x a. is continuous b. has an infinite discontinuity…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: The domain of the function y= f(x) is (Type your answer in interval notation.)

A:

Q: 8. Determine values of a and b so that the following function is continuous. f(x) = (2+3x-2x2 2-x…

A:

Q: che domain and range of the function. Write the answer using y 30 (4, 25) 25 15 10 -2-1 o1 2 3 4 5…

A: Topic = Functions

Q: f(x) = - 4x* + 2x +5 %3D

A: Problem related to derivative application

Q: Suppose f is a continuous function, and the following facts hold: f(2,10,9) = 8, and Duf(2,10,9) =…

A: Definition: Directional derivative is the rate of change of f(x, y, z) in the direction of the unit…

Q: 19. Use the graph on the right. 7 а. Find the domain. Use interval notation. 6. b. Find the range.…

A: we know that Domain=value of x a. Domain x∈-7,-3∪[-2,∞)b. Range=value of y Range y∈-4,0∪1

Q: The letter refers to the list of equations and the number is the value of the function f at 1.…

A: In all of them, evaluate limit value at x=1

Q: Find each x-value at which fis discontinuous and for each x-value, determine whether f is continuous…

A:

Q: x³ – 9x? 10. Find the intervals on which the function h(x)= is continuous. x³ – 5x² + 6x

A: Rational functions are discontinuous where the denominator is zero .  h ( x ) = f ( x ) / g( x )  If…

Q: 39-40. Intervals of continuity Complete the following steps for each function. a. Use the continuity…

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.