Which of the following functions f: R → R is continuous at the point 0 € R? f(x) = x² f(x) = = X {² f(x) = { √x 0 f(x) = = x x + 2 -1 f(x) = = {i² 1 if x ≤ 0 if x > 0 if x ≥ 0 if x < 0 if x ≤ 0 if x > 0 if x < 0 if x > 0 Choose... Choose... Choose... Choose... Choose... <> O <>

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Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

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Q: Let f be a real-valued function on R. Suppose that f(−1) = 3 and f'(x) ≤ 2 for all values of x. How…

A: f(-1)=3f'(x)≤2Integrating w.r.t x;∫ f'(x) dx ≤ ∫2 dxf(x)≤2x+Cf(-1)=33=2(-1)+CC=3+2C=5