Which statements are correct? Check all that apply.
A quadratic function can have two irrational roots.
A quadratic equation can have no real number solutions.
If a quadratic function has two real roots, then both roots must be rational.
A quadratic function can have three zeros.
All quadratic functions touch or cross the x-axis at least once.

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Answer:

A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

Step-by-step explanation:

A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

What is quadratic function?

A quadratic function is a polynomial function with one or more in which highest exponent of variable is two.

According to the question,

A quadratic function can have two irrational roots.

example: [tex]x^{2} -2x -2 =0[/tex]

This equation have two irrational roots  1+√3 and 1 - √3.

A  quadratic function can have no real number solutions

Hence, A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

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