Which statement correctly describes the end behavior of f(x)=ax+b, where a and b are positive numbers? as x→∞, f(x)→∞, and as x→−∞, f(x)→∞. as x→∞, f(x)→∞, and as x→−∞, f(x)→−∞. as x→∞, f(x)→−∞, and as x→−∞, f(x)→∞. as x→∞, f(x)→−∞, and as x→−∞, f(x)→−∞.

The correct option is 2.

Step-by-step explanation:

The given function is

Where, a and b are positive numbers.

The given function is the slope intercept form of a linear function. Where a is the slope and b is y-intercept.

Since slope is positive therefore function approaches to infinity as x approaches to infinity and function approaches to negative infinity as x approaches to negative infinity.

It is also proved by using limits.

Apply limits.

Similarly,

Apply limits.

Therefore option 2 is correct.

were is the equation