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Which graph represents f(x)=2x^8? Explain how you know based on the sign of the leading coefficient and degree of function.

HELP Which graph represents fx2x8 Explain how you know based on the sign of the leading coefficient and degree of function class=

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Answer:

First graph

Step-by-step explanation:

First off, the graph opens up because a is positive. Second, the parent function of the quadratic graph is [tex]\displaystyle y = x^2,[/tex]and the greater the WHOLE NUMBERS [vertical stretch (a)] get, the slimmer the parabola gets, and the more you increase the DEGREE evenly [anything ending in 0, 2, 4, 6, and\or 8], the more flat, U-shaped the parabola becomes.

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Answer:

The first graph is the correct one.

Step-by-step explanation:

y = 2x^8

The degree of x  is even (=8) so the equation is an even function and will be symmetrical about the y-axis. So this rules out the second graph.

The coefficient (2) of x^8 is positive so all values y values will be positive.

Therefore it is the first graph.

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