given the values in the table on the right come from a continuous function, y has at least how many zeroes…
given the values in the table on the right come from a continuous function, y has at least how many zeroes? 0 1 2 3 done
Answer
Explanation:
Step1: Check sign - changes
A zero of a continuous function occurs where the function changes sign. Analyze the $y$ - values in the table. When $x=-3.2$, $y = - 1.19$ and when $x=-2.4$, $y = 4.62$. The sign of $y$ changes from negative to positive. When $x=-0.8$, $y=-0.64$ and when $x = 0$, $y=-5.58$, no sign - change. When $x = 0.8$, $y=-7.95$ and when $x = 2.4$, $y = 7.26$. The sign of $y$ changes from negative to positive.
Step2: Count sign - changes
The number of sign - changes in the $y$ - values of the continuous function is 2.
Answer:
2