(0,-4) would map into itself because it doesn’t move.
Answer:
Step-by-step explanation:
Please use " ^ " to denote exponentiation: f(x) = x^2 + 4x - 21.
This function has a graph which is a parabola that opens up.
Its vertex is found by completing the square:
x² + 4x + 4 - 4 - 21, or
(x + 2)² - 25
Comparing this to the standard equation
(x - h)² + k, we see that h = -2 and k = -25.
Thus, the vertex (and the minimum of this function) is (-2, -25).
Thus, the range is [-25, ∞ ). This being a polynomial function, it has no restrictions on the domain: the domain is (-∞, ∞ )
Answer:
$9,812.29
Step-by-step explanation:
The amount in Jeremy's account can be computed using the compound interest formula.
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<h3>account value</h3>
The formula for the value of an account earning compound interest at annual rate r, compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
where P is the principal invested.
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<h3>formula application</h3>
When P=$8500, r=0.024, n=4, t=6, the formula becomes ...
A = $8500(1 +0.024/4)^(4·6) = $8500(1.006^24) ≈ $9812.29
There will be $9,812.29 in this account after 6 years.
