the function $f(x)$ is graphed below. what is true about the graph on the interval from $x = -infty$ to $x =…

the function $f(x)$ is graphed below. what is true about the graph on the interval from $x = -infty$ to $x = a$?\nanswer\nit is positive and increasing\nit is positive and decreasing\nit is negative and increasing\nit is negative and decreasing

the function $f(x)$ is graphed below. what is true about the graph on the interval from $x = -infty$ to $x = a$?\nanswer\nit is positive and increasing\nit is positive and decreasing\nit is negative and increasing\nit is negative and decreasing

Answer

Explanation:

Step1: Analyze y - values on interval

On the interval from (x = -\infty) to (x=a), the graph of (y = f(x)) lies below the (x) - axis. So, (y=f(x)<0) on this interval, which means the function is negative.

Step2: Analyze slope on interval

As (x) increases from (-\infty) to (a), the (y) - values of the function are getting larger (the graph is rising). So the function is increasing.

Answer:

It is negative and increasing