Algebra 2 CP - Unit Test #01

Algebra 2

Unit Test #1

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Part 1: Calculator Allowed

Rewrite $x > 4$ in interval notation.

(3)

$x \in (4, \infty)$

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Write an interval for the number line shown above.

(4)

$x \in (- 8, 1]$

Evaluate $f (0)$ given $f (x) = \{\begin{array}{r} {(x + 2)}^{2} & x < - 1 \\ - x + 1 & - 1 < x \leq 3 \\ \sqrt{x} & x > 3 \end{array}$ .

(3)

$f (0) = - (0) + 1 = 1$

Find the average rate of change for $f (x) = x^{2} + x + 2$ over $x \in [- 2, 0]$ .

(6)

$f (- 2) = {(- 2)}^{2} + (- 2) + 2 = 4$ and $f (0) = {(0)}^{2} + (0) + 2 = 2$ , so the average rate of change is $\frac{2 - 4}{(0) - (- 2)} = \frac{- 2}{2} = - 1$ .

Algebra 2

Unit Test #1

Part 2: No Calculator Allowed

Rewrite $x \in (- \infty, - 5]$ as an inequality.

(3)

$x \leq - 5$

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Identify (by name and equation) the parent function shown above.

(3)

Square root; $y = \sqrt{x}$

Create a table of values and sketch the following equation: $y = - \sqrt{x} - 2$ .

(5)

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Create a table of values and sketch the following equation: $y = {(x - 3)}^{2} - 1$ .

(5)

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Create a table of values and sketch the following equation: $f (x) = \{\begin{matrix} \sqrt{x + 2} & x < 2 \\ {(x - 4)}^{2} & x \geq 2 \end{matrix}$ .

(5)

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