Function $f$ is graphed. The dashed lines represent asymptotes.

Select all the $x$-values for which $f$ is not differentiable.
Choose all answers that apply:

A -3

B 0
c 1
D 3

Question

Function $f$ is graphed. The dashed lines represent asymptotes.

Select all the $x$-values for which $f$ is not differentiable.
Choose all answers that apply:

A -3

B 0
c 1
D 3

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To determine where the function $f$ is not differentiable, we need to identify points where the function has discontinuities, sharp turns, or vertical tangents. ‖ ‖ step 2 ⋮ From the graph, we observe the following: - A vertical asymptote at $x = -3$ - A sharp turn at $x = 0$ - No other points of discontinuity or sharp turns at $x = 1$ or $x = 3$ ‖ ‖ step 3 ⋮ Therefore, the function $f$ is not differentiable at $x = -3$ and $x = 0$. ‖ ***A, B*** ∻Key Concept∻ ⚹Non-differentiability⚹ ∻Explanation∻ ⚹A function is not differentiable at points where it has discontinuities, sharp turns, or vertical tangents.⚹◊What are the properties of a function $h$ at $x = -1$ based on the information provided?⍭ Generate me a similar question◊

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