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Sphinxa [80]
3 years ago
14

The graph below shows two polynomial functions, f(x) and g(x):

Mathematics
2 answers:
pentagon [3]3 years ago
5 0
One glance at the graphs should be enuf to tell you that one (the red one) is the graph of a parabola with positive leading coeff. and that the other is the gaph of an odd function which here happens to be y = x^3, also with a pos. lead. coeff.
neonofarm [45]3 years ago
3 0
The answer is '<span>f(x) is an odd degree polynomial with a positive leading coefficient'.

An odd degree polynomial with a positive leading coefficient will have the graph go towards negative infinity as x goes towards negative infinity, and go towards infinity as x goes towards infinity.

An even degree polynomial with a negative leading coefficient will have the graph go towards infinity as x goes toward negative infinity, and go towards negative infinity as x goes toward infinity.

g(x) would have a a positive leading coefficient with an even degree, as the graph goes towards infinity as x goes towards either negative or positive infinity.
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