Question

HELP

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

Answer 1

The first graph is the correct one.

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.

Answer 2

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
`\displaystyle y = x^2,`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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