Question

use the graph to answer all of the questions:
select the number of y intercepts:
select the number of x intercepts:
does the function have a minimum x - value?
yes no
does the function have a maximum x - value?
yes no

Explanation:

Step1: Analyze y - intercept

The y - intercept is the point where the graph crosses the y - axis. From the graph, we can see that the graph intersects the y - axis at one point. So the number of y - intercepts is 1.

Step2: Analyze x - intercepts

The x - intercepts are the points where the graph crosses the x - axis. Looking at the graph, we can see that the graph intersects the x - axis at one point. So the number of x - intercepts is 1.

Step3: Analyze minimum value

A function has a minimum value if there is a point on the graph that is lower than all other points. Looking at the graph, we can see that there is a vertex (the lowest point of the graph) at \(x = 10\) (or the corresponding x - value of the lowest point). So the function has a minimum value, so the answer is Yes.

Step4: Analyze maximum value

A function has a maximum value if there is a point on the graph that is higher than all other points. Looking at the graph, we can see that the graph extends infinitely in some directions (the lines go on without a highest point that is a peak for the whole function). So the function does not have a maximum value, so the answer is No.

Answer:

• Number of y - intercepts: 1
• Number of x - intercepts: 1
• Does the function have a minimum x - value? Yes
• Does the function have a maximum x - value? No