-2 1/6+(-2/3) please help me I really need help thanks
1 answer:
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Answer:
f(x) =
Step-by-step explanation:
Let the equation of the give cubic function is,
f(x) = p(x - a)(x - b)(x - c)
Here, a, b, c and d are the x-intercepts of the given graph.
Since, x-intercepts given in the graph are x = -5, 1 and 4,
Equation of the curve will be,
f(x) = p(x + 5)(x - 1)(x - 4)
Since, the graph of this function passes through (2, -2) also
-2 = p(2 + 5)(2 - 1)(2 - 4)
-2 = -p(14)
p =
p =
Therefore, equation will be,
f(x) =
Answer:
Part 1) ----->
Part 2) ---->
Part 3) ----> All real numbers
Part 4) ---->
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is
Part 2) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is
Part 3) we have
Applying the distributive property
This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have
we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero
Remember that
(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is