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Select all the true statements about this graph A. The graph is nonlinearB. The function increases at the same rateC. The rate decreases after x = 2.D. The graph is a functionE. The graph is increasing in two intervals.SELECT ALL ANSWER CHOICES THATS RIGHT

Select all the true statements about this graph A. The graph is nonlinearB. The function-example-1
User Vicente Quintans
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1 Answer

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15 votes

In the graph the points are connected by the straight lines, so graph is linear graph. In nonlinear graph the points are connected by the curve. So option A is incorrect.

The slope of the line changes after x=2. The inclination of line with positive x axis is different before and after x=2. So the function not increases at same rate. Then option B is incorrect.

The rate is given by the slope of line. The inclination of line with positive x axis increase after x=2, so rate increases not decreases. Then option C is incorrect.

The graph of a straight line is function or not a function can be inspected by vertical line test.

If we draw a vertical line, then the vertical line intersect the line only once, so the graph is function. Option D is correct.

The value of y increases with increase in value of x but increase in value of y with x is different for two lines. So graph is increasing in two intervals. Option E is also correct.

Thus option D and E is only true for given graph.

User Fabio Picheli
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2.6k points