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!

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5