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Determine the number of turning points
estimate any
x-intercepts.
State whether
a > 0, or
a < 0
Determine the minimum degree of

$1$ . Determine the number of turning points $\newline$ $2$ . estimate any $x$ -intercepts. $\newline$ $3$ . State whether $a>0$ , or $a<0$ $\newline$ $4$ . Determine the minimum degree of

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Rational functions: asymptotes and excluded values

Full solution

Q.

1

. Determine the number of turning points

\newline

2

. estimate any

x

-intercepts.

\newline

3

. State whether

a>0

, or

a<0

\newline

4

. Determine the minimum degree of

Determine Turning Points: To determine the number of turning points, we need the degree of the polynomial. Since we don't have the polynomial, we can't find the exact number of turning points. However, the number of turning points is at most one less than the degree of the polynomial.
Estimate $X$ -Intercepts: For estimating $x$ -intercepts, we need the actual polynomial or its graph. Without it, we can't estimate the $x$ -intercepts.
Determine Sign of 'a': To know if $a > 0$ or $a < 0$ , we need to know the leading coefficient of the polynomial. Without the polynomial, we can't determine the sign of ' $a$ '.
Infer Minimum Degree: The minimum degree of the polynomial can be inferred from the number of turning points. If we had the number of turning points, we could say the minimum degree is one more than the number of turning points.

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