Evaluating and Solving Functions Given by Formulas

Work each one out before you check it. Every question has a scratch pad and a calculator.

1. Question 1

   Let $f(x) = 4 - 2x^2 + x$. Find $f(-3)$.

   $f(-3) =$

   Check

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2. Question 2

   Let $f(x) = 2x^2 - 5x$. Find $f(a + 3)$ and simplify it to the form $2a^2 + Ba + C$.

   $B =$

   $C =$

   Check

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3. Question 3

   Let $g(x) = x^2 - 6x$. For $h \neq 0$, simplify $\dfrac{g(a+h) - g(a)}{h}$ to the form $pa + qh + r$.

   $p =$

   $q =$

   $r =$

   Check

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4. Question 4

   Let $h(p) = p^2 - 2p$. Solve $h(p) = 8$.

   smaller solution: $p =$

   larger solution: $p =$

   Check

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5. Question 5

   Express the relationship $5x - 2y = 8$ as a function $y = f(x)$, in the form $f(x) = mx + c$.

   $m =$

   $c =$

   Check

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