x*+6x3-1 4. Let p(x) = x5 + 3x² – 1 and r(x) = - x²+x-2 a. How many zeros could p(x) have and why? b. What is the behavior of p(x) at ∞ and –∞? c. Other than graphing, how could we tell if this function p(x) has a zero on the interval (0,1)?
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Let p(x )=x^ 5 +3x^ 2 −1 and r(x )= x^4+6x^3-1/x^2+x-2
a. How many zeros could ( ) have and why?
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What is the behavior of ( ) at ∞ and −∞?
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Other than graphing, how could we tell if this function ( ) has a zero on the
interval (0,1)?
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What is the domain of ( )? (Hint: Factor the denominator!)
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What is the behavior of ( ) at ∞ and −∞?
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What is the range of ( )?
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