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
–3.1

Question

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
–3.1 < x < –2.7
–2.3 < x < –1.9
–1.5 < x < –1.1
–0.3 < x < 0.1

anonymous · Answer

x=-3.1, -2.7, -2.3, -1.9, -1.5, -1.1, -0.7, -0.3, 0.1
y=-1.86, -0.84, -0.09, 0.44, 0.79 1.00, 1.10, 1.13, 1.13