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An even degree power function has a negative leading coefficient. Which answer correctly describes the function's end behavior?

 

a. As x→∞x→∞, f(x)→−∞f(x)→−∞

    As x→−∞x→−∞,  f(x)→−∞f(x)→−∞

 

b. As x→∞x→∞, f(x)→−∞f(x)→−∞

    As x→−∞x→−∞f(x)→∞f(x)→∞

 

c. As x→∞x→∞, f(x)→∞f(x)→∞

    As x→−∞x→−∞, f(x)→−∞f(x)→−∞

 

d. As x→∞x→∞, f(x)→∞f(x)→∞

    As x→−∞x→−∞, f(x)→∞

 Jul 1, 2020
 #1
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Since it has a EVEN exponent    if x   is negative or positive    the  result will be a POSITIVE

   BUT the negative leading coefficint will always turn it back to NEGATIVE

     so as  x  goes  to  inf   OR  - inf     f(x) will always  go to   negative inf

 Jul 1, 2020

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