Question 1 Let ƒ be a function with domain R, such that f(x) = 0 for x < -1, and f(x) =1 for z> 1. -3 -2 -1 1 21 (a) Define f(z) for x € [-1, 1] so that ƒ is continuous everywhere. (b) Find a, b, c,d so that, if f(x) is defined as f(x) = ar' +bx² + cz +d_for z E (-1,1], then f is differentiable and continuous everywhere.
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![Question 1 Let f be a function with domain R, such that f(x) = 0 for 1 < -1, and f(z) = 1 for z >1.
-3
-2 1
(a) Define f(x) for x € [-1, 1] so that f is continuous everywhere.
(b) Find a,b, c,d so that, if f(x) is defined as f(x) = ar" +bx² + GE + d for 1 E -1,1], then f is differentiable
and continuous everywhere.
2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52052328-5a34-4195-86aa-03a6e2c9ba62%2F06bc2f38-b974-4569-a2d3-8fc31e0141b2%2Fpknh8c_processed.png&w=3840&q=75)
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