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weeeeeb [17]
3 years ago
10

Which of the following describes the polynomial function?

Mathematics
2 answers:
Yanka [14]3 years ago
8 0
B. It cant be A because a negative leading coefficient would mean it was turned facing down. It can't be C because the bottom of the loop is a turning point. It cant be C because it doesn't cross the x-axis.
guapka [62]3 years ago
4 0

Answer:

<em>B. The function has an even degree.</em>

Step-by-step explanation:

<u>A. The function has a negative leading coefficient.</u>

When a function has negative leading coefficient, then it opens downward.

But in this case the graph is opened upwards.

<u>B. The function has an even degree.</u>

As the graph is symmetric about y axis, so the value of f(x) at both x and -x will be same. (for any x and -x, the value of y is same.)

And in even functions f(x)=f(-x), so this graph has even degree function.

<u>C. The function has zero turning points.</u>

Turning point is where f(x) changes it sign. In this case f(x) changes from -ve to +ve at x=2, so it has one turning point.

<u>D. The function has one x-intercept.</u>

x-intercept is where the graph intersects x-axis. In this case the graph doesn't even touch the x axis, so it doesn't have any x-intercept.


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