Help
Contact
For teachers and institutes
Search courses, problems, tests…
A
A
>_
StemPy Lab
Courses ▾
Problems ▾
Practice ▾
Mock Tests
Classes
Community ▾
A
A
Consider the function f(x) = |x - 4| at the point x =… | StemPy Lab
Quizzes
/
Consider the function f(x) = |x - 4| at the point x = 4. Which of the following describes it correctly?
Mathematics
Easy
High School (11–12)
Functions and Calculus › Continuity and Differentiability
A-Level
AP
IB
Created by
StemPy Lab
Consider the function
f
(
x
)
=
∣
x
−
4
∣
f(x) = |x - 4|
f
(
x
)
=
∣
x
−
4∣
at the point
x
=
4
x = 4
x
=
4
. Which of the following describes it correctly?
f
f
f
is continuous but not differentiable
f
f
f
is differentiable but not continuous
f
f
f
is neither continuous nor differentiable
f
f
f
is both continuous and differentiable
Check Answer
Log in to save
Tag someone
⚑ Report
← All Quizzes
← How many points of discontinuity does f(x) = 1/(x² - 6x + 13) have?
What is the derivative of (4x - 7)³ with respect to x? →
More on
Functions and Calculus › Continuity and Differentiability
Discussion (0)
Log in
to join the discussion.
Loading…
Problems on this topic
Apply the Mean Value Theorem to f(t) = ln(1 + t) on [0, x] for x > 0 to show that x/(1 + x) < ln(1…
Hard
Verify the Mean Value Theorem for f(x) = x³ - 2x on [0, 2]…
Medium
A designer claims that x³ + 3x + 5 = 0 has exactly one real solution…
Hard
Let f(x) = (x - 1)^(2/3) on [0, 2], where the real cube root is used…
Hard
All problems on this topic →