a party planner is going to use an arch of balloons for a parade of recent graduates. the estimated curve…

a party planner is going to use an arch of balloons for a parade of recent graduates. the estimated curve the balloons will create is modeled by the function given in the table, where x represents the distance in feet along the ground from the start and f(x) represents the height in feet above the ground. the planner needs a clearance of 9 feet under the arch. has the planner met the minimum height? no, because the width of the arch is 8 feet yes, because the width of the arch is 9.6 feet no, because the maximum height of the arch is 8 feet yes, because the maximum height of the arch is 9.6 feet\n\n|x|f(x)|\n|----|----|\n|0|0|\n|2|7.2|\n|4|9.6|\n|6|7.2|\n|8|0|

a party planner is going to use an arch of balloons for a parade of recent graduates. the estimated curve the balloons will create is modeled by the function given in the table, where x represents the distance in feet along the ground from the start and f(x) represents the height in feet above the ground. the planner needs a clearance of 9 feet under the arch. has the planner met the minimum height? no, because the width of the arch is 8 feet yes, because the width of the arch is 9.6 feet no, because the maximum height of the arch is 8 feet yes, because the maximum height of the arch is 9.6 feet\n\n|x|f(x)|\n|----|----|\n|0|0|\n|2|7.2|\n|4|9.6|\n|6|7.2|\n|8|0|

Answer

Explanation:

Step1: Identify maximum height

From the table, when $x = 4$, $f(x)=9.6$ feet which is the maximum value of the function in the given domain.

Step2: Compare with required height

The planner needs a clearance of 9 feet. Since $9.6>9$.

Answer:

yes, because the maximum height of the arch is 9.6 feet