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A coordinate plane for f of x versus x.
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The x-axis ranges from 0 to 7 in increments in unit increments. The vertical axis represents f of x ranging from negative 2 to 3 in unit increments. A line passes through the coordinates left parenthesis negative 1 comma 0 right parenthesis, left parenthesis 1 comma 1 right parenthesis, left parenthesis 3 comma 0 right parenthesis, left parenthesis 5 comma 2 right parenthesis, left parenthesis 6 comma 2 right parenthesis, left parenthesis 7 comma 0 right parenthesis.
Describe the graph of f(x)
by selecting the correct statement.
(1 point)
The average rate of change is negative on the interval [0,1]
and on the interval [3,4]
.
The average rate of change is negative only on the interval [6,7]
.
The average rate of change is negative only on the interval [1,3]
.
The average rate of change is negative on the interval [1,3]
and also on the interval [6,7]
.
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Answered by
GPT-5 mini
AI
The correct statement is: The average rate of change is negative on the interval [1,3] and also on the interval [6,7].
Reason: f(1)=1 and f(3)=0 so slope (0−1)/(3−1)=−1/2 < 0; f(6)=2 and f(7)=0 so slope (0−2)/(7−6)=−2 < 0. (On [0,1] the slope is +0.5 and on [3,4] it is +1.)
Reason: f(1)=1 and f(3)=0 so slope (0−1)/(3−1)=−1/2 < 0; f(6)=2 and f(7)=0 so slope (0−2)/(7−6)=−2 < 0. (On [0,1] the slope is +0.5 and on [3,4] it is +1.)
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