Over what interval is the graph of f(x) = –(x + 8)2 – 1 decreasing?
Asked by wiki @ in Mathematics viewed by 302 People
Asked by wiki @ in Mathematics viewed by 302 People
Answered by wiki @
F(x) = -(x + 8)² - 1
The function (not its graph) decreases on interval [-8, ∞). It is a quadratic function in vertex form. That form makes it easy to pick out the one extremum, where x equals -8. The leading coefficient is negative, so the extremum must be a maximum. The function decreases as x increases from there.
Notice that I include the value -8 in the interval. The function does not have instantaneous decrease at that value, but that is not what it means for a function to be decreasing over an interval.
Let a and b be any two values on [-8, ∞), such that a < b.
-8 ≤ a < b
Then f(a) > f(b). Therefore, function f is decreasing on interval [-8, ∞).
Asked by maham237 @ in Mathematics viewed by 403 persons
Asked by maham237 @ in Mathematics viewed by 368 persons
Asked by admin @ in Math viewed by 304 persons
Asked by maham237 @ in Mathematics viewed by 383 persons
Asked by wiki @ in Mathematics viewed by 449 persons
Asked by maham237 @ in Mathematics viewed by 320 persons
Asked by maham237 @ in Mathematics viewed by 578 persons
Asked by admin @ in Math viewed by 339 persons
Asked by maham237 @ in Mathematics viewed by 635 persons
Asked by admin @ in Math viewed by 266 persons
Asked by maham237 @ in Mathematics viewed by 546 persons
Asked by maham237 @ in Mathematics viewed by 18341 persons
Asked by admin @ in Mathematics viewed by 8141 persons
Asked by admin @ in Mathematics viewed by 5764 persons
Asked by maham237 @ in Mathematics viewed by 3930 persons
Asked by maham237 @ in Mathematics viewed by 3247 persons
Asked by maham237 @ in Mathematics viewed by 2918 persons
Asked by maham237 @ in Mathematics viewed by 2780 persons
Asked by maham237 @ in Mathematics viewed by 2572 persons
Asked by maham237 @ in Mathematics viewed by 2473 persons
Asked by maham237 @ in Mathematics viewed by 2423 persons
Asked by maham237 @ in Mathematics viewed by 2414 persons
Asked by maham237 @ in Mathematics viewed by 2068 persons
Asked by maham237 @ in Mathematics viewed by 1791 persons