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What is the right choice for question 27) ? http://postimg.org/image/ddnwrvhjb/

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jayson94 | Salutatorian

Posted August 20, 2013 at 2:14 PM via web

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What is the right choice for question 27) ?

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted August 20, 2013 at 2:27 PM (Answer #1)

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x-intercept of a graph of function means the point where the graph cuts/meet/intercept the x-axis. When a polynomial intercept the x-axis, at that moment y = 0.

`y = x^4+1`

When y = 0;

`x^4 = -1`

`x^4>=0` always. Therefore no x-intercepts.

This has been shown in the graph below also.

So the graph does not intercept x-axis for real numbers of x. The correct answer is given in a).

 

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