Check whether the graph is linear or not, and whether it is increasing, decreasing, or neither. What is the domain and range? Are there any x- or y-intercepts?
See solution.
Practice makes perfect
Le's take a look at the given graph.
To describe the given graph completely, we can start by answering the following questions.
Is the graph linear? No, the graph is not a straight line.
Is it increasing, decreasing or neither? The graph is increasing.
What is the domain? There is no indication whether the graph cannot be extended indefinitely on both sides, suggesting that all real numbers are within its domain.
What is the range? There is no indication whether the graph is bounded from below or from above, suggesting that all real values are in the range.
Are there any x-intercepts? Yes, (8,0) is the x-intercept.
Are there any y-intercepts? Yes, (0,-2) is the y-intercept.
How is it related to the graph of the parent function, y = sqrt(x)? The graph is obtained from the parent function by shifting it two units down.
