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The graph shown gives the height of the tide in a harbour as a function of time over the course of one day. Height of Tide in of Tide Height
a. What is the greatest and lowest height of the tide?
b. At approximately what time in the morning is the tide at its highest height?
c. Does the graph represent a linear function? Explain.
d. Express the domain and range of the graph in set builder notation.

The graph shown gives the height of the tide in a harbour as a function of time over the course of one day Height of Tide in of Tide Height a What is the greate class=

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MrRoyal

The graph does not show a linear relationship or a proportional relationship.

What is the greatest and lowest height of the tide?

This represents the highest and the lowest points on the graph.

From the graph, we have

Highest = 30

Lowest = 5

Hence, the greatest and the lowest heights of the tide are 30 and 5 respectively

At approximately what time in the morning is the tide at its highest height?

This is any time between 0 and 12, when the value of the tide is 30

From the graph, the value of the tide is 30 at approximately t = 5

Hence, the time in the morning is the tide at its highest height is 5 am

Does the graph represent a linear function? Explain.

Linear equations can take any of the following forms

Ax + By = C

y = mx + c

y - y1 = m(x - x1)

Any equation that takes a form different from the above forms is not a linear equation

Also, linear equations are represented by straight lines.

Hence, the equation does not show a linear relationship or a proportional relationship.

The domain and the range

In (a), we have:

Highest = 30

Lowest = 5

So, the range is:

Range = {y ∈ R | 5 <= y <= 30}

Also, the possible time is between 0 and 24.

So, the domain is:

Domain = {x ∈ Z | 1 <= x <= 24}

Read more about linear relationships at:

https://brainly.com/question/4025726

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