Which exponential function has an x-intercept?
1 answer:
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Answer:
Table B
Step-by-step explanation:
The table represents a linear function if the ratio of change in y (∆y) to change in x (∆x) is a constant.
A — first two points: ∆y/∆x = (1-2)/(3-0) = -1/3
second two points: ∆y/∆x = (6-1)/(4-3) = 5 ≠ -1/3
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B — first two points: ∆y/∆x = (2-(-3))/(4-(-1)) = 5/5 = 1
second two points: ∆y/∆x = (4-2)/(6-4) = 2/2 = 1, the same as for the first points. This is the table that answers the question.
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C — first two points: ∆y/∆x = (0-(-2))/(0-(-3)) = 2/3
second two points: ∆y/∆x = (4-0)/(2-0) = 4/2 = 2 ≠ 2/3
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D — first two points: ∆y/∆x = (-2-(-7))/(0-5) = 5/-5 = -1
second two points: ∆y/∆x = (2-(-2))/(2-0) = 4/2 = 2 ≠ -1
