b Plot the points and then join them, considering the shape that the graph should have.
C
c Is the graph curved? What is the y-intercept? Is the function increasing? What x- and y-values are possible?
A
a It should be curved.
B
b
Table:
Days013Bacteria100020004000
Graph:
C
c See solution.
Practice makes perfect
a The exercise tell us that a bacteria population grows from 1000 cells to 2000, and then to 4000, each day. Then, it asks if the shape of the graph would be linear or curved. Recall that a linear function is characterized by a constant rate of change. Here it is not the case, as the function changes faster each time. Therefore, the graph would be curved.
b We are now asked to make a table and a graph for the situation, with the days as the input and the number of bacteria cells as the output. For the table we just need to organize the given information, and we have enough information for the graph to draw a curve passing through the known points.
Days013Bacteria100020004000
c The graph of the function is curved. The y-intercept is 1000. there is no x-intercept. The function is increasing. Negative x-values and negative y-values are not possible.
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