determine the domain on which the following function is decreasing. answer attempt 1 out of 3 submit answer
determine the domain on which the following function is decreasing. answer attempt 1 out of 3 submit answer
Answer
Explanation:
Step1: Identify the vertex
The vertex of the parabola is the point where the function changes from decreasing to increasing. For a parabola opening upwards (which this one is), the x - coordinate of the vertex gives the boundary of the decreasing and increasing intervals. The vertex of this parabola is at $x = 1$.
Step2: Determine the decreasing interval
A function is decreasing when the y - values are getting smaller as the x - values increase. For this upward - opening parabola, the function is decreasing to the left of the vertex.
Answer:
$(-\infty,1)$