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ladya1613
19.12.2019 •
Mathematics
What is the maximum number of x-intercepts of any quadratic function?
a. 2
b. 3
c. 1
d. 0
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Ответ:
A
Step-by-step explanation:
Quadratic function has a degree of 2, that means the highest power of x is 2.
They have a shape "U" and are known as "parabolas".
They can have 0, 1, or 2 x-intercepts depending on the type of roots (solutions) the equation has.
Imagine a U shaped curve (quadratic) that doesn't intersect x-axis at all. It will have no real solutions.
Now, imagine a U shaped curve (quadratic) that touches the x-axis and goes up or down. That one has two same real solutions.
Third, imagine a U shaped curve (quadratic) that intersects the x-axis TWICE and goes up or down. That one has 2 distinct real solutions.
Hence, the maximum number of x-intercepts any quadratic function can have is "2".
Correct answer is A
Ответ: