Question

"3. Describe the end behavior for the graphed function.

f(x)→−[infinity] as x→−[infinity]
f(x)→[infinity] as x→700
f(x)→[infinity] as x→+[infinity]
f(x)→−[infinity] as x→−[infinity]
f(x)→−[infinity] as x→70.
A) The function f(x) approaches negative infinity as x approaches negative infinity and approaches positive infinity as x approaches 700, with similar behavior as x goes to positive infinity.
B) The function f(x) tends to positive infinity as x goes to positive infinity, and approaches negative infinity as x approaches both negative infinity and 70.
C) The function f(x) has a limit of negative infinity as x approaches both negative infinity and 70, while it tends to positive infinity as x goes to 700.
D) The end behavior of f(x) is such that it goes to negative infinity as x approaches both negative infinity and 70, and approaches positive infinity as x goes to 700.
E) None of the above.

Answer 1

The end behavior of the graphed function is such that it approaches negative infinity as x approaches negative infinity, approaches positive infinity as x approaches 700, and approaches positive infinity as x goes to positive infinity.

Step-by-step explanation:

The given information describes the end behavior of the graphed function. As x approaches negative infinity, f(x) approaches negative infinity. As x approaches 700, f(x) approaches positive infinity. And as x approaches positive infinity, f(x) also approaches positive infinity. Therefore, the correct option is A) The function f(x) approaches negative infinity as x approaches negative infinity and approaches positive infinity as x approaches 700, with similar behavior as x goes to positive infinity.