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LuckyWell [14K]
3 years ago
10

Which of the following could be the graph of y = xn where n is even?

Mathematics
2 answers:
Elden [556K]3 years ago
7 0

Answer:

3. The graph opening upwards

Step-by-step explanation:

We are given the function y=x^{n}, where n is even.

Now, we know that a polynomial function given by,

y=a_{n}x^{n}+a_{n-1}x^{n-1} + .... + a_{1}x + a_{0}.

Also, when the polynomial function has an even degree ( i.e. n = even ) with leading co-efficient positive ( i.e. a_{0} > 0 ), its graph opens upwards.

As, we have that y=x^{n} is also a polynomial function with degree ( n ) given to be even and the leading co-efficient is 1 > 0.

Hence, the graph of  y=x^{n} will open upwards.

So, we get that the graph in figure 3 is the correct option.

MrRissso [65]3 years ago
3 0
The answer is C because is n is positive and even it will only open up.
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