Recall that a positive integer exponent refers to repeated multiplication, so that: $$x^3 = x\cdot x\cdot x$$ and $$x^4 = x\cdot x\cdot x\cdot x$$

1. Let $f(x) = x^4\text{,}$ and evaluate both $f(2)$ and $f(-2)\text{.}$ Remember to use parentheses when raising a negative number to an exponent.
   Answer: $f(2) =$
   Answer: $f(-2) =$
2. Let $g(x) = x^5\text{,}$ and evauate both $g(2)$ and $g(-2)\text{.}$
   Answer: $g(2) =$
   Answer: $g(-2) =$
3. In summary: If we evaluate the function $f(x) = x^4$ when $x \gt 0\text{,}$ then the output will be ? positive negative , and if $x \lt 0\text{,}$ the output will be ? positive negative
4. If we evaluate the function $g(x) = x^3$ when $x \gt 0\text{,}$ then the output will be ? positive negative , and if $x \lt 0\text{,}$ the output will be ? positive negative