Test - North Carolina Math 3 EOC Pre Test

1 pt Standard: A-SSE.1b DOK: 2

What is the difference between the graphs of $f$ (x) = 2 $^{x}$ x − 2 and $g$ (x) = 2 $^{x - 2}$ ?

The graph of $f$ (x) has a vertical translation in the opposite direction to the vertical translation of $g$ (x).

Nothing is different about the two graphs.

The graph of $f$ (x) has a horizontal translation, while $g$ (x) has a vertical translation.

The graph of $f$ (x) has a vertical translation, while $g$ (x) has a horizontal translation.

1 pt Standard: G-CO.11 DOK: 1

13.

Which of the following squares is similar to the square below?

all the above.

1pt Standard: F-IF.2 DOK: 1

24.

Evaluate $f$ (2)

$f (x) = \{\begin{cases} x, if x \geq 1 \\ 2 x, if x < 1 \end{cases}$

1 pt Standard: F-LE.3 DOK: 2

39.

Find the rate of change for both functions for the interval x = 1 to x = 5.

Rate of change for $f (x) : 21$ , $g (x) : 60$

Rate of change for $f (x) : 31$ , $g (x) : 50$

Rate of change for $f (x) : 60$ , $g (x) : 31$

Rate of change for $f (x) : 31$ , $g (x) : 60$

1 pt Standard: A-REI.1 DOK: 2

43.

Solve the equation.

$\log_{11} 5 x = \log_{11} (9 - 4 x)$

{–1}

{–7}

{4}

{1}

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