How many zeros are indicated by the values in the table that represent the graph of a continuous function?xy–3.08.40–2.40.69–1.8–0.39–1.20.24–0.60.46000.6–0.461.2–0.241.80.392.4–0.693.0–8.40

Because the function is continuous, a change from positive to negative values or vice versa indicates at least one zero between those x-values. The table shows sign changes between −2.4 and −1.8, −1.8 and −1.2, 1.2 and 1.8, and 1.8 and 2.4. It also gives y = 0 at x = 0, for 5 zeros total. The correct choice is 5.

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