Consider the following piecewise-defined function: f(x) = { 4-ax² if x ≤1 b 2x if x > 1 Find the values of a and b so that the function f(x) is differentiable at every x. Sketch the graph of f(x) on the interval [-3,3].

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SectionP.6: Analyzing Graphs Of Functions
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Consider the following piecewise-defined function:
f(x)
=
{
4-ax² if
x ≤1
b 2x if x > 1
Find the values of a and b so that the function f(x) is differentiable at every x.
Sketch the graph of f(x) on the interval [-3,3].
Transcribed Image Text:Consider the following piecewise-defined function: f(x) = { 4-ax² if x ≤1 b 2x if x > 1 Find the values of a and b so that the function f(x) is differentiable at every x. Sketch the graph of f(x) on the interval [-3,3].
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