4. Consider the graph of function f (x): a) at x = 2 f(x) A) is continuous and differentiable B) is not continuous but differentiable C) is continuous and non-differentiable D) is not continuous and non-differentiable 3 4 b) at x = 3 f(x) A) is continuous and the limit exists B) is not continuous but the limit exists C) is continuous but the limit does not exist D) is not continuous and the limit does not exist c) at x = 4 f(x) A) is continuous and differentiable B) is not continuous but differentiable C) is continuous but non-differentiable D) is not continuous and non-differentiable

4. Consider the graph of function f (x): a) at x = 2 f(x) A) is continuous and differentiable B) is not continuous but differentiable C) is continuous and non-differentiable D) is not continuous and non-differentiable 3 4 b) at x = 3 f(x) A) is continuous and the limit exists B) is not continuous but the limit exists C) is continuous but the limit does not exist D) is not continuous and the limit does not exist c) at x = 4 f(x) A) is continuous and differentiable B) is not continuous but differentiable C) is continuous but non-differentiable D) is not continuous and non-differentiable

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks

Similar questions

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.
evaluate the limit of xsin(1/x) as x approaches zero using the squeeze theorem.
Prove that a function f is continuous at a limit point p iff the limit as x goes to p is f(p).
How do I prove that the limit does not exist as (x,y)->(0,0) and x cannot equal 0. For (x^2 +4y^2) / x^2.
Prove that limit of x^4cos2/x=0 , as x approaches zero.
Let f(x, y) = xy /(x 2 + y2). Show that f(x, y) approaches zero along the x- and y-axes. Then prove that lim f(x, y) does not exist by (x,y) (0,0)showing that the limit along the line y =xis nonzero.
find the limit of ƒ as (x, y) →(0, 0) or show that the limit does not exist. ƒ(x, y) = 2x/(x2 + x + y2)
Prove that the limit of xy[(x^2 - y^2)/(x^2 + y^2)] is zero as (x, y) goes to (0,0)
Prove that if the limit of f(x) as x approaches c exists, then the limit must be unique.
Let f (x, y) = xy/(x2 + y2). Show that f (x, y) approaches zeroalong the x- and y-axes. Then prove that lim (x,y)→(0,0)f (x, y) does not exist by showing that the limit along the line y = x is nonzero.
Let ƒ: S→R be an uniformly continuous function. Finish the proof by showing that the limit lim_(x →b)ƒ(x) exists.
Let ƒ : (a,b) →R be an uniformly continuous function. Finish the proof by showing that the limit lim_(x →b)ƒ(x) exists.