Determine whether f(t) is continuous, piecewise continuous, or neither on [0,10], and sketch the graph of 30, Ost<2 f(t) = { -t+ 16, 2

Q: 15. Discuss the continuity of the function f (x) = x²-4. x-2

A: To find the continuity of function we need to find the domain of function

Q: Sketch the graph off. At each point of discontinuity, state whether f is left- or right-continuous.

A:

Q: Sketch the graph of a function f that is defined over all real numbers and that is decreasing on the…

A: Given: f(x) is decreasing on the interval -2,3. f(x) is concave down on the interval -2,2 f(x) is…

Q: If f(z) <0 for all real numbers z then f is decreasing on (-o, 00) Select one: O a. False O b. True

A:

Q: t g(x) = 2x² + 6x – 4 in the interval [-1,1]. Use the Intermediate Value Theorem to determine if a…

A:

Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: The function f(x) = 2x - √x if x ≤ 1 x²-1 x-1 2 if 1<x<2 Select one: O True False if x22 is…

A:

Q: x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Identify the real number at which it is not continuous of the given function

A: To find: The real number where the function is not continuous. Given: The function is fx=xx2-4x+4.…

Q: Find the values of a and b that make f continuous everywhere. b = f(x): x-2 ax² - 6x + 3 4x -a + b…

A:

Q: Use the intermediate value theorem to classify each function according to the existence of zeros on…

A:

Q: 7x – 1 Determine in which interval(s) the function h(x) is continuous. Justify %3D x2 +1 your…

A:

Q: 5. Consider the following piecewise function. x-4, if x>2 f (x) = {- 1, if x = 2 x² - 4, if x<2 a)…

A:

Q: The absolute Extrema of the function f(T) = -x-* -21/3 +r on the interval [ 8, 1] are Select one: a.…

A:

Q: Suppose that f(x) is a continuous function with f( – 1) = - 8 and f(3) = 8. Determine which choice…

A: Always true

Q: (x2+3). Explain why √x4+24 Q7. Consider the function f : [0, 1] → R, x→ (a) f continuous, (b) f is…

A:

Q: Apply Corollary 2 to the Intermediate Value Theorem. f is a polynomial and continuous everywhere.…

A: Given that, f(-3) = 170 &gt; 0 f(-2) = -25 &lt; 0 f(-1) = 2 &gt; 0 f(0) = -1 &lt; 0 f(l) = 2 &gt; 0…

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

A:

Q: Determine where the function m(x) = x+1 (x-1)(x-4) is continuous. The function is continuous on…

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.