Xf(x) 3.0 4.0 3.5 -0.2 4.0 -0.8 4.5 0.1 5.0 0.6 5.5 0.7 for the given table of values for a polynomial function, where must the zeros of the function lie? a. between 3.0 and 3.5 and between 4.0 and 4.5 b. between 3.5 and 4.0 and between 4.0 and 4.5 c. between 4.0 and 4.5 and between 4.5 and 5.0 d. between 3 .5 and 4.0 and between 4.0 and 4.5 e. between 3 .5 and 4.0 and between 5.0 and 5.5

A. between 3.0 and 3.5 and between 4.0 and 4.5

Step-by-step explanation:

The idea here is that if a function is continuous and you have points on opposite sides of the x-axis, then there must be a zero-crossing between those points. As the table and graph show, ...

... (3.0, 4.0) and (3.5, -0.2)

are points on opposite sides of the x-axis. So, there must be a zero crossing between x=3.0 and x=3.5.

Likewise, ...

... (4.0, -0.8) and (4.5, 0.1)

are points on opposite sides of the x-axis. So, there must be a zero-crossing between x=4.0 and x=4.5

The appropriate answer choice lists both of these possible zero crossings.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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