Question

Which graph represents f(x)=2x3 ?




A. A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The U shape curve opens down, begins in the third quadrant, passes through begin ordered pair 0 comma 0 end ordered pair and ends in the fourth quadrant.

B. A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The U shape curve opens up, begins in the second quadrant, passes through begin ordered pair 0 comma 0 end ordered pair and ends in the first quadrant.


C. A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The graph begins in the second quadrant and extends to the fourth quadrant as an S shape curve.


D. A polynomial function is graphed on the coordinate plane. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The graph begins in the third quadrant and extends to the first quadrant as an S shape curve.

Answer 1

Answer is Option 1 ..

Answer 2

Answer:

The correct option is D.

Step-by-step explanation:

The given function is

$f(x)=2x^3$

First find some pairs of coordinates and draw the graph of given function.

At x=2,

$f(-2)=2(-2)^3=-16$

At x=-1,

$f(-2)=2(-1)^3=-2$

At x=0,

$f(0)=2(0)^3=0$

At x=1,

$f(1)=2(1)^3=2$

At x=2,

$f(2)=2(2)^3=16$

The table of values is

 x      y

-2      -16

-1         2

0        0

1         2

2        16  

Plot these points on a coordinate plan and connect them by a free hand curve.

From the given graph it is clear that the graph begins in the third quadrant and extends to the first quadrant as an S shape curve.

Only description of option D matched with the graph of f(x).

Therefore, the correct option is D.