Question 1

Based on the graph provided, which type of symmetry does the graph exhibit?

Accepted Answer

Symmetric about the origin

Question 2

What are the $$x- $$and $$y-$$intercepts of the graph shown?

Accepted Answer

$$x-$$intercept: $$(0, 0)$$; $$y-$$intercept: $$(0, 0)$$

Question 3

If the graph shown is $$f(x) = x^3$, which of the following statements is true?

Accepted Answer

The graph is symmetric about the origin.

Question 4

Which equation best represents the graph shown?

Accepted Answer

$$y = x^3$

Question 5

Suppose the graph shown models the population growth of a bacteria culture over time, where $$x is $$time in hours and $$y is $$the population. What does the origin $$(0,0)$$ represent in this context?

Accepted Answer

The population starts at 0 at time 0.

Precalculus Study Guide: Symmetry and Intercepts of Graphs

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