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User PhilB
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Answer:

C, E

Explanation:

You want to identify the true statements about the end behavior, symmetry, domain, and range of g(x) = -5x² and f(x) = 5x-10.

End behavior

The function g(x) is of even degree (the exponent is 2), and the function f(x) is of odd degree (the exponent is 1). An even-degree function cannot have the same end behavior as an odd-degree function.

Range

The range of any odd-degree polynomial function is (-∞, +∞).

Any even-degree polynomial function will have a global maximum or minimum so cannot have the same range. The range of g(x) is (-∞, 0].

Domain

The domain of any polynomial function is "all real numbers." Both f and g have the same domain.

Symmetry

An even-degree function may have an axis of symmetry. An odd-degree function cannot be symmetrical about any line. The functions cannot have the same symmetry.

Points of intersection

Two polynomial functions may have a number of points of intersection equal to the highest degree. That means a degree-1 and a degree-2 function may have up to 2 points of intersection. These two functions intersect twice, as the graph in the attachment shows.

Someone please help me thank u​-example-1
User Spacesix
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