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 select a statement to describe the domain: does the function have a minimum y - value? yes no does the function have a maximum y - value? yes no

Explanation:

Step1: Identify y - intercepts

The y - intercept is the point where the graph crosses the y - axis. From the graph, it crosses the y - axis at 1 point.

Step2: Identify x - intercepts

The x - intercept is the point where the graph crosses the x - axis. From the graph, it crosses the x - axis at 1 point.

Step3: Check for minimum x - value

The x - values of the graph extend infinitely in both the negative and positive directions. So, there is no minimum x - value.

Step4: Check for maximum x - value

The x - values of the graph extend infinitely in both the negative and positive directions. So, there is no maximum x - value.

Step5: Describe the domain

Since the x - values extend infinitely in both directions, the domain is all real numbers, which can be written as $(-\infty,\infty)$.

Step6: Check for minimum y - value

The y - values of the graph extend infinitely in the negative direction. So, there is no minimum y - value.

Step7: Check for maximum y - value

The y - values of the graph extend infinitely in the positive direction. So, there is no maximum y - value.

Answer:

Number of y - intercepts: 1
Number of x - intercepts: 1
Does the function have a minimum x - value? No
Does the function have a maximum x - value? No
Domain: $(-\infty,\infty)$
Does the function have a minimum y - value? No
Does the function have a maximum y - value? No