Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.
-$$y = 7 ^ { x + 5 }$$
A) Bounded
B) Bounded below
C) Unbounded
D) Bounded above

Question

Quizplus · Accepted Answer

The function $ y = 7^{x+5} $ is an exponential function, which is always positive and increases without bound as $ x $ increases. Therefore, it is bounded below by 0 but unbounded above.

Determine If the Function Is Bounded Above, Bounded Below, Bounded y=7x+5y = 7 ^ { x + 5 }y=7x+5

Determine If the Function Is Bounded Above, Bounded Below, Bounded $y = 7 ^ { x + 5 }$