Construct a table of values and a graph for each of the following functions. Be
sure to select at least two values in the
interval 0 < x < 1.
a) () = log2

() = log3

d) () = log10
2. How did you decide what values to use for x in your table?
3. How did you use the x values to find the y values in the table?
4. What similarities do you see in the graphs?
5. What differences do you observe in the graphs?
6. What is the effect of changing the base on the graph of a logarithmic function?

1.ℎ() = log4

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)