Question

In the xy-plane, the graph of the equation y = x2 +2 intersects the x-axis in how many points?

O Zero
O One
Ο Two
O More than two

Answer 1

0

Explanation:

Here, we want to get the number of times the graph of the function intersects the x-axis

Mathematically we need to know the number of roots the function has

We can get this by the use of the discriminant

This is:

D = b^2 - 4ac

b is the coefficient of x which is 0 here

a is the coefficient of x^2 which is 1 here

c is the last number which is 2

So;

D = 0^2 -4(1)(2) = 0-8 = -8

the discriminant value is negative

This means there are no real roots

x-y plane is used for real numbers and thus since there are no real roots, the graph of the equation will not intersect any point on the x-axis