Question

The graph of y = x² - 4x is shown on the grid.

Find the range of values for which
x² - 4x < 0
O
-5 -4 -3 -2
-1
Sin
4
3
122
O
-1-
-2
-3
-5-
1
3

Answer 1

The inequality x² - 4x < 0 is true in 0 < x < 4

For which values is true that x² - 4x < 0?

To identify this in the graph, we just need to look at the interval in the horizontal axis where the graph is below it.

We can see that it first crosses the x-axis at x = 0, and then it crosses it again at x = 4, so we can see that the function is negative in the interval:

0 < x < 4