Function f is an increasing exponential function that is negative on the interval (-∞, 2) and positive on the interval (2, ∞). W

Question

lisabon 2012 [21]

4 years ago

11

Function f is an increasing exponential function that is negative on the interval (-∞, 2) and positive on the interval (2, ∞). W

hich could be the graph of function f?

Mathematics

2 answers:

Westkost [7] · Answer 1 · 2022-01-08T16:29:19+03:00

Answer:

Based on the conditions we see that the function never pases through x=2 so then we know that x=2 is not on the domain of f. And we can create the following function who satisfy the conditions:

$f(x) =\frac{1}{x-2}$

And we can see that we have a vertical asymptote in x =2 and is negative always on the interval (-∞, 2) and always positive on the interval (2, ∞).

And we can see the function in the figure attached.

Step-by-step explanation:

For this case we need a function that satisfy that is negative on the interval (-∞, 2) and positive on the interval (2, ∞).