1) a) Describe the characteristics of the graph of y = −4 log x

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1) a) Describe the characteristics of the graph of y = −4 log x.

b. Graph y = −4 log x using technology to check your predictions. Include a screen shot or sketch of your graph.

2. Describe at least three similarities and three differences between the functions y = 10x and y = log x.

3. A researcher has determined that an equation that models the height of a particular species of tree is y = 20.2 log(x), where y is height in metres and x is time in years.

a. Graph the equation using technology.

b. Predict the height of the tree after 30 years.

c. Predict how old the tree will be when it is 15 m tall.

d. Describe how the height of the tree changes as time increases. Be specific.