Find the points on the graph of the function that are closest to the given point.f(x) = x2,    (0, 6)

Determine whether following function is differentiable at the given point.f(x) = cos(x)x2 + 1, x = 0

Instructions: Find the value by evaluating the function. Do not include any spaces in your answer. Function: g(x)=x2−5𝑔(𝑥)=𝑥2−5Find: g(0)𝑔(0)Solution:

Sketch the graph of a function f that satisfies all of the given conditions.lim x→6+ f(x) = 7, lim x→6− f(x) = 5, lim x→−2 f(x) = 5, f(6) = 6, f(−2) = 4

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.f(x) = -x2 + 2x - 7

Show that the function f (x) := 1/x2 is uniformly continuous on (1, ∞), but that it isnot uniformly continuous on (0, ∞)