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) → ∞
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<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.)
The correct answer is: [C]: " (0, 24) " .
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Explanation:
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Given the quadratic function:
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→ " y = (x <span>− 8) (x + 3) " ; </span>← Note: Replace the "f(x)" with: "y" ;
→ Find the "y-intercept".
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→ Note: The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" .
→ So; we set plug in "0" for "x" into our equation; and solve for "y" ;
→ " y = (x − 8) (x + 3) " ;
→ y = (0 − 8) (0 + 3) ;
→ y = (-8) * (3) ;
→ y = - 24 ;
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So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
the point at which: "x = 0 ; y = -24 " ;
→ that is; the point the coordinates: " (0, - 24) " ;
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→ which is: Answer choice: [C]: " (0, - 24) " .
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Answer:
1,2,4
Step-by-step explanation:
Factors are the numbers that we can multiply together to make 4
1*4 = 4
2*2 = 4
The factors are 1,2 and 4
Depends it could be 14812 if they want total value or just the interest would be 7812