NC Math 3 EOC Released

If

 $f\left(x\right)=k\left(x-2\right)^4,\$  where k is positive, what is the effect on the graph of f(x) as k increases?

• The graph of f(x) is shifted up.

• The graph of f(x) is shifted down.

• The graph of f(x) is stretched vertically.

• The graph of f(x) is stretched horizontally.

The graph of a function is shown below. Which interval is the function decreasing?

• $\left(-4,-1\right)$

• $\left[-2,0\right)$

• $\left(0,2\right]$

• $\left(0,4\right]$

The graph of a function is shown below. Which interval is the function increasing?

• $\left(-4,-1\right)$

• $\left[-2,0\right)$

• $\left(0,2\right]$

• $\left(0,4\right]$

The graph of a function is shown below. Which interval is the function positive?

• $\left(-4,-1\right)$

• $\left[-2,0\right)$

• $\left(0,2\right]$

• $\left(0,4\right]$

The graph of a function is shown below. Which interval is the function negative?

• $\left(-4,-1\right)$

• $\left[-2,0\right)$

• $\left(0,2\right]$

• $\left(0,4\right]$

Tags

CCSS.HSF-IF.C.7A

Which function does NOT have the set of all real numbers as its domain?

• $f\left(x\right)=5^x-3$

• $f\left(x\right)=\frac{x+1}{x+3}$

• $f\left(x\right)=\left|2x-1\right|$

• $f\left(x\right)=\cos\left(x\right)+1$

The graph of an equation is shown.
Which equation represents the graph?

•  $y=\left|x\right|-2$  

•  $y=\left|2x\right|-2$  

•  $y=\left|x-2\right|$  

•  $y=\left|2x-2\right|$  

Tags

CCSS.HSF-IF.C.7D

A company makes and boxes spaghetti.

• One machine fills each box with approximately 32 ounces of spaghetti.

• After the boxes are filled, another machine weighs each box.

• A box is discarded if the weight of the box differs by more than 0.25 ounce from the target weight of 32 ounces.

Which inequality can be used to find the range of acceptable weights, x, of the spaghetti?

• $\left|x-0.25\right|\le32$

• $\left|x+0.25\right|\le32$

• $\left|x-32\right|\le0.25$

• $\left|x+32\right|\le0.25$

Tags

CCSS.HSA.CED.A.3

Two functions are shown below.

 $f\left(x\right)=2x^3+2x-3$   $g\left(x\right)=-0.5\left|x-4\right|$  
What is the y-value when f(x) = g(x)?

Tags

CCSS.HSA.REI.C.7

Two piecewise functions are shown. 
What is the value of $3h\left(2\right)+4g\left(1\right)$  ?

• 39

• 28

• 10

• -6

Tags

CCSS.HSF.IF.A.2