find the values of k so that the function f(x) is continuous for all x i) f(x) = { x+k, if x < 0 { 4-x^2, if x >= 0
Added by Caleb
Close
Step 1
In this case, we need to find the value of k such that the function is continuous for all x. This means we need to ensure that the function is continuous at x = 0, because that's the point where the definition of the function changes. So, we need to find the Show more…
Show all steps
Your feedback will help us improve your experience
Kathleen Carty and 91 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the value of k such that f(x) = {kx^2 x > -2 is continuous at x=-2, 8 x < -2
Ma. Theresa A.
Find the constant k for which the function f(x) = { 2x + k if x < 3, kx^2 if x ≥ 3 is continuous.
Collin P.
Find the value of the constant $k$ that makes the function continuous. $f(x)=\left\{\begin{array}{ll}{k x^{2}} & {\text { if } x \leq 2} \\ {x+k} & {\text { if } x>2}\end{array}\right.$
The Derivative
Continuity
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
