(05.06 LC)

Which graph represents a decreasing function?

Four graphs of y against x are shown. The title for the first graph is Graph A, the title for the second graph is Graph B, the title for the third graph is Graph C, and the title for the fourth graph is Graph D. Graph A is a straight line joining the ordered pairs 0, 4 and 6,4. Graph B is a straight line joining the points 0, 0 and 6,6. Graph C is a straight line joining the points 0, 5 and 6, 0. Graph D is a straight line joining the points 6, 0 and 6,5.
Select one:
a. Graph A
b. Graph B
c. Graph C
d. Graph D

Question

14-02-2019
Mathematics

contestada

(05.06 LC)

Which graph represents a decreasing function?

Four graphs of y against x are shown. The title for the first graph is Graph A, the title for the second graph is Graph B, the title for the third graph is Graph C, and the title for the fourth graph is Graph D. Graph A is a straight line joining the ordered pairs 0, 4 and 6,4. Graph B is a straight line joining the points 0, 0 and 6,6. Graph C is a straight line joining the points 0, 5 and 6, 0. Graph D is a straight line joining the points 6, 0 and 6,5.
Select one:
a. Graph A
b. Graph B
c. Graph C
d. Graph D

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 1 · 2022-05-21T07:50:11+02:00

The Graph C which has a straight line joining the points 0, 5 and 6, 0 represents a decreasing function.

How to identify the decreasing function?

When the value of y on a graph is decreases on increasing the value of x, and vise versa, then the function is called decreasing function.

Four graphs of y against x are shown.

The graph A is a straight line joining the ordered pairs 0, 4 and 6,4. In this value of x increases from 0 to 6 while the value of y is unchanged. Thus, this is a constant function.

Graph B is a straight line joining the points 0, 0 and 6,6. This is an increasing function where the value of y increases with x.

Graph C is a straight line joining the points 0, 5 and 6, 0. In this the value of x increases from 0 to 6 while the value of y decreases from 0 to 5.

Thus, the Graph C which has a straight line joining the points 0, 5 and 6, 0 represents a decreasing function.

Learn more about the decreasing function here;

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