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QUESTION 1
The given functions are;
and
We regroup like terms to obtain;
This simplifies to;
The correct answer is A.
QUESTION 2
The given functions are;
and
.
This implies that;
The correct answer is B.
QUESTION 3
The given functions are
and
.
We factor to obtain;
We cancel the common factors to obtain;
The correct answer is A.
The sales tax amount is $ 28.4
<em><u>Solution:</u></em>
Given that you purchase an ipod that costs $339
The tax rate is 8.375 %
To find: Sales tax amount
From given,
Cost price = $ 339
Tax rate = 8.375 %
Therefore, sales tax amount is 8.375 % of cost price
Thus sales tax amount is $ 28.4
Answer:
- zeros are {-2, 3, 7} as verified by graphing
- end behavior: f(x) tends toward infinity with the same sign as x
Step-by-step explanation:
A graphing calculator makes finding or verifying the zeros of a polynomial function as simple as typing the function into the input box.
<h3>Zeros</h3>The attachment shows the function zeros to be x ∈ {-2, 3, 7}, as required.
<h3>End behavior</h3>The leading coefficient of this odd-degree polynomial is positive, so the value of f(x) tends toward infinity of the same sign as x when the magnitude of x tends toward infinity.
- x → -∞; f(x) → -∞
- x → ∞; f(x) → ∞
__
<em>Additional comment</em>
The function is entered in the graphing calculator input box in "Horner form," which is also a convenient form for hand-evaluation of the function.
We know the x^2 coefficient is the opposite of the sum of the zeros:
-(7 +(-2) +3) = -8 . . . . x^2 coefficient
And we know the constant is the opposite of the product of the zeros:
-(7)(-2)(3) = 42 . . . . . constant
These checks lend further confidence that the zeros are those given.
(The constant is the opposite of the product of zeros only for odd-degree polynomials. For even-degree polynomials. the constant is the product of zeros.)
