SOLUTION: Piecewise function.
f(x)={x+4, x ≥ 2 and ax^2, x < 2
A. Find the value for "a" so that f(x) is continuous for all real numbers.
B. Sketch the graph to verify results fr
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-> SOLUTION: Piecewise function.
f(x)={x+4, x ≥ 2 and ax^2, x < 2
A. Find the value for "a" so that f(x) is continuous for all real numbers.
B. Sketch the graph to verify results fr
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Question 1021099: Piecewise function.
f(x)={x+4, x ≥ 2 and ax^2, x < 2
A. Find the value for "a" so that f(x) is continuous for all real numbers.
B. Sketch the graph to verify results from part A.
For any value of where , regardless of the value of . There are a couple of basic limit theorems that you can apply to the segments of this function where , and I'll leave that part of the analysis to you.
Therefore, for this piecewise fuction to be continuous for all reals, it is sufficient to find a number such that when .
And the desired function is:
John
My calculator said it, I believe it, that settles it
