Problem 66CE

In Exercises 61–66, you will further explore finding deltas graphically. Use a CAS to perform the following steps:

a. Plot the function y = ƒ(x) near the point c being approached.

b. Guess the value of the limit L and then evaluate the limit symbolically to see if you guessed correctly.

c. Using the value graph the banding lines and together with the function ƒ near c.

d. From your graph in part (c), estimate a δ > 0 such that for all x

Test your estimate by plotting f, y1, and y2 over the interval 0 < |x – c| < δ. For your viewing window use c - 2δ ≤ x ≤ c + 2δ and If any function values lie outside the interval your choice of was too large. Try again with a smaller estimate.

e. Repeat parts (c) and (d) successively for and 0.001.

PSYCH STATS POWERPOINT CHAPTER TWO ● frequency: the number of times a score occurs ● distribution: shape of scores ● frequency distribution: organized display of scores ○ descriptive stats ● tables: simplest format ○ lists every score and frequency ● graphs ○ visual depiction ○ many types Frequency Distribution Table ● find the largest value, write it in the table ● find each time it occurs, record frequency ● repeat ● sum of all scores ○ take each individual score from table ○ multiply each score by the frequency ● proportion: f/n ● percentage: (f/n)100 ● the sum of all the total number of frequencies: n ● if your data set has a large range: use a group frequency table