If $f(x)=x^{2}$. Find
(a) $f(x+h)$
(b) $f(x+h)-f(x)$

Answer

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Answer

(b) \boxed{f(x+h)-f(x) = (x+h)^2 - x^2}\

Steps

Step 1 ：Substitute $x+h$ into the function $f(x)=x^2$:

Step 2 ：$f(x+h) = (x+h)^2$

Step 3 ：Find the difference between $f(x+h)$ and $f(x)$:

Step 4 ：$f(x+h)-f(x) = (x+h)^2 - x^2$

Step 5 ：\boxed{\text{Final Answer:}}\

Step 6 ：(a) \boxed{f(x+h) = (x+h)^2}\

Step 7 ：(b) \boxed{f(x+h)-f(x) = (x+h)^2 - x^2}\