### Home > INT3 > Chapter 8 > Lesson 8.3.4 > Problem8-145

8-145.

Without completely solving them, decide which of the following functions have real zeros, and which have complex zeros.

Think about the graph of each given function. Are there any $x$-intercepts?

1. $y = x^{2} – 6$

real

1. $y = x^{2} + 6$

complex

1. $y = x^{2} – 2x + 10$

complex

1. $y = x^{2} – 2x – 10$

real

1. $y = \left(x – 3\right)^{2} – 4$

real

1. $y = \left(x – 3\right)^{2} + 4$

complex