Choosing the values of x and finding y. when x =0, y= -2, taking different values of x = 1,2,3,4 we can use them to find the function of y in terms of the m, then we use values of y, to determine the value of m, thus for there are no x-intercepts for the values of m.
For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?
We replace the values of x from the table below to obtain the value of y.
When M= 0 then the graph of y = mx2 – 5x – 2 will have no x-intercept. However for this to occur the value of the x-intercept must also be zero.