Is 2,4 and 3,9 and 4,16 a linear function?

No, it is not a linear function.

Step-by-step explanation:

If you look at the change in the x-values, you'll see that it increases by 1 each time. But, if you look at the y-values, you'll see that they don't change by the same increment as it goes from 4 to 9 (which means it increased by 5) and from 9 to 16 (which means it increased by 7). For it to be considered a linear function, the change in the y-value has to be the same every time for each increment in the x-value.

If you're ever in doubt, just graph the points on a piece of paper and see if they form a straight line. If they do, then it is a linear function. If they don't then its not linear.

Hope this helps!

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.