Question

for this item, drag the answers into the appropriate boxes.
consider the graph of the function.
complete the sentence.
the function is for all values of x, and the y - intercept of the function is at

Explanation:

Step1: Determine if the function is increasing or decreasing

A function is increasing if as \(x\) increases, \(y\) increases. A function is decreasing if as \(x\) increases, \(y\) decreases.
Looking at the graph of \(y = f(x)\), as \(x\) moves from left - to - right (increasing \(x\) values), the \(y\) - values of the function are getting smaller. So the function is decreasing.

Step2: Find the \(y\) - intercept

The \(y\) - intercept of a function \(y = f(x)\) is the point where \(x = 0\).
When \(x = 0\), from the graph, we can see that \(y=5\). So the \(y\) - intercept is the point \((0,5)\)

Answer:

The function is decreasing for all values of \(x\), and the \(y\) - intercept of the function is at \((0,5)\)