Question

The graph of an equation with a negative discriminant always has which characteristic? no x-intercept no y-intercept no max no mini

Answer 1

No x-intercept.

Explanation:

The zeroes are not real so it will not pass through the x axis.

Answer 2

The correct option is A) No x-intercepts.

Explanation:

Consider the provided information.

Nature of solution based on the value of discriminant :

If D = b² − 4ac > 0 then there exist two Real Solutions or roots.

If D = b² − 4ac = 0 then there exist one Real Solutions or roots.

If D = b² − 4ac < 0 then there exist no Real Solutions or roots

Here, we need to remember that the root of an equation and x-intercepts are the same thing.

Now consider the provided information.

The graph of an equation with a negative discriminant means:

D = b² − 4ac < 0

From the above values of discriminant we can say, there exist no Real roots or no x-intercepts.

Thus, the correct option is A) No x-intercepts.