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21 September, 08:00

The values in the table represent the graph of a continuous function. Which interval must contain an x-intercept?

X Y

-3.1 - 1.85

-2.7 - 0.84

-2.3 - 0.09

-1.9 0.44

-1.5 0.79

-1.1 1.00

-0.7 1.10

-0.3 1.13

0.1 1.13

A. - 3.1 < x < - 2.7

B. - 2.3 < x < - 1.9

C. - 1.5 < x < - 1.1

D. - 0.3 < x < 0.1

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Answers (1)
  1. 21 September, 08:13
    0
    B. - 2.3 < x < - 1.9

    Step-by-step explanation:

    The x-intercept is where the line crosses through the x-axis. At the x-intercept, the y values of the function increase and change from negative to positive. This happens in the table between x = - 2.3 and x = - 1.9. The interval is B. - 2.3 < x < - 1.9.
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