Answer:
Yes, I agree
Step-by-step explanation:
For the cubic function
A cubic function is represented as:
A cubic function may have 1, 2 or 3 x intercepts. This is shown below
For 3 x intercepts
Equate y to 0
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Express as difference of two squares
<em>x = 0 or 1 or -1</em>
For 2 x intercepts
Equate y to 0
Expand
<em>x= 5 or x = -7</em>
For 1 x intercept
Equate y to 0
Take cube roots of both sides
It has been shown above that a cubic function may have 1, 2 or 3.
So, I agree to the statement
For the quadratic function
A quadratic function will not have any x intercept when the function can not be factorized;
E.g.
<em>The above function has no x intercept.</em>
A quadratic function will have at least 1 x intercept when the function can be factorized;
E.g.
Equate y to 0
Expand
We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)
Hence, I agree to both statement