Question: (a) Graph f(x) = x 2 and g(x) = x 2 + 3 on the same axes. What can you say about the slopes of

(a) Graph f(x) = x² and g(x) = x² + 3 on the same axes. What can you say about the slopes of the tangent lines to the two graphs at the point x = 0? x = 1? x = 2? x = a, where a is any value?

(b) Explain why adding a constant to any function will not change the value of the derivative at any point.

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