Question

technology to help analyze a function
the graph of ( y = x ( x - 1 ) ( x - 1 ) ( x - 1 ) ) is shown
which point is a turning point of the graph?

Explanation:

Step1: Recall the definition of a turning point

A turning point of a graph is a point where the function changes from increasing to decreasing or vice - versa.

Step2: Analyze each point

• Point A: It is an \(x\) - intercept (where \(y = 0\)), not a turning point.
• Point B: The function changes from increasing to decreasing at this point.
• Point C: It is just a point on the curve, not a point of direction change.
• Point D: It is an \(x\) - intercept (where \(y = 0\)), not a turning point.

Answer:

B