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Start by finding the slope of f(x). To do this, integrate f'(x). The integral comes out to (2x−1)52+C. Now solve for C by solving f(1)=(2×1−1)52+C=9, which gives us a C value of 172, thus the function f(x)=(2x−1)52+172
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Determine whether each of these functions is a bijection from R to R.
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Find the linear approximation of the function f(x)=1−x at a=0 and use it to approximate the numbers 0.9 and 0.99.
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