Which among the choices is not true about the continuity of f(x)? x²-4x-5 f(x) =D if x # 5 2x-10 3, if x = 5 O fi) is continuous O lim, s f(x) = (5) O There is a missing point discontinuity at x 5 O f(5) is defined

Q: Explain the differences between continuity and uniform continuity when f(x)=3x+7 shown on graph…

A: See the attachment

Q: is continuous or discontinuous at x = -4 using the three step continuit x + 6 x -4

A: We have to check continuity  of function

Q: f(x): = ax² + x - b, ax + b, 2ax - 7, (a) Find the values of a and b such that f is continuous on…

A:

Q: Suppose that f(x) is a continuous function with f(-3) = – 4 and f(1) = 4. Determine which choice…

A: Consider a function f(x) defined on an interval a,b. Suppose that f is continuous and f(a)≠f(b).…

Q: -4+x, x)= {=-x if x 2 3 if x 3 Evaluate the following expressions. lim f(x) = x-3 lim f(x) = x-3+…

A: f(x)=-4+x,    if x<3   2-x,    if x⩾3 now I am attaching image so that you can easily understand…

Q: Explain the differences between continuity and uniform continuity when f(x)=3x+7 shown on graph…

A: Answer

Q: (x? + 3x f(x) = - 6x if xs-2 if x>-2 A) Check the continuity of the function f(x) at x = -2 %3D

A:

Q: Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it…

A: This question can be solved using the concept of limit and continuity.

Q: 5 - x, -1 sx 2 r - 1, 2 <xs 3 Discuss the continuity of g(x) = %3D

A:

Q: Suppose that f(x) is a continuous function with f(3)=−7 and f(7)=7Determine which choice best…

A: The given statement is For some c in the interval [-7,7], f(x)=c for all x in the interval [3, 7]…

Q: 3. If f is a continuous function, what can you say about lim f(x)?

A: Given thatf is continuous To determinelimx→1f(x)

Q: f(2) = 4 and f(3) = 3. With this information, can you determine whether there exists a real number c…

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: Suppose that f(x) is a function with f( – 1) = – 9 and f(3) = 9. Determine which choice best…

A: given: we have a function f(x) such that f(-1)=-9 and f(3)=9. the given statement is: ''f(x)=0 for…

Q: Consider the function defined by f(x) = -(x + 1)² +5 if x 4 Graph the function. Is the function…

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: Suppose that f(x) is a continuous function with f(1) = - 6 and f(5) = 6. Determine which choice best…

A:

Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: 11 f(x) dx = 31. 10 Then f(x) dx 3

A: