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Q. 114

Expert-verifiedFound in: Page 197

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

Can the graph of a polynomial function have no y-intercept? Can it have no x-intercepts? Explain.

When a polynomial does not have the constant term then the graph of the polynomial does not contain $y-$ intercept.

The graph of polynomial does not have $x-$ intercept if the roots of the polynomial function are imaginary.

When a polynomial does not have the constant term then the graph of the polynomial does not contain $y-$ intercept.

The graph of polynomial does not have $x-$ intercept if the roots of the polynomial function are imaginary.

The graph of polynomial does not have $x-$ intercept if the roots of the polynomial function are imaginary.

For example The graph of $1+x+{x}^{2}$ does not have $x-$ intercept.

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