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-BARSIC- [3]
3 years ago
5

Which of the following is an even function?

Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:

G(x)=2x2+1

Step-by-step explanation:

Nikolay [14]3 years ago
4 0
<h3>Answer:  Choice B</h3>

Consider that choice B is the same as saying 2x^2+1x^0.

The exponents 2 and 0 are both even, which is sufficient to say that the entire polynomial function itself is also even.

Something like choice A expands out and simplifies to x^2-2x+2, and that's equivalent to saying x^2+2x^1+2x^0. The presence of the x^1 term, with its odd exponent, is what makes choice A not even (it's not odd either).

Similarly, choices C and D also have exponents of 1, so they aren't even either.

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dybincka [34]

Answer:

a) Vertex is at (-3, -1)

b) y-intercept is at (0,8)

c) x intercept is at (-4,0) and (-2,0)

d) x=-3

Step-by-step explanation:

The vertex of a parabola is the lowest or highest point, implying that all points are reflected across it. It's the only y value that doesn't have a corresponding pair.

For example, -1 and 1, -3 and 3, and so on.

The vertex is at (-3,-1) because it is the sole point without a corresponding y value (-3,-1)

The y-intercept is where the parabola meets the y axis or when the x value equals 0. To determine the y-intercept, simply find when x = 0.

intercept y: (0,8)

The x-intercepts are the same as the y-intercepts; you must determine where the parabola crosses the x-axis or when y = 0.

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