Find a possible equation for the common logarithmic function graphed in
[link] .
This graph has a vertical asymptote at
and has been vertically reflected. We do not know yet the vertical shift or the vertical stretch. We know so far that the equation will have form:
It appears the graph passes through the points
and
Substituting
Is it possible to tell the domain and range and describe the end behavior of a function just by looking at the graph?
Yes, if we know the function is a general logarithmic function. For example, look at the graph in
[link] . The graph approaches
(or thereabouts) more and more closely, so
is, or is very close to, the vertical asymptote. It approaches from the right, so the domain is all points to the right,
The range, as with all general logarithmic functions, is all real numbers. And we can see the end behavior because the graph goes down as it goes left and up as it goes right. The end behavior is that as
and as
Access these online resources for additional instruction and practice with graphing logarithms.
When the parent function
is multiplied by
the result is a reflection about the
x -axis. When the input is multiplied by
the result is a reflection about the
y -axis.
The equation
represents a reflection of the parent function about the
x- axis.
The equation
represents a reflection of the parent function about the
y- axis.
Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ...
Step 2: Find each score's deviation from the mean. ...
Step 3: Square each deviation from the mean. ...
Step 4: Find the sum of squares. ...
Step 5: Divide the sum of squares by n – 1 or N.
The sample of 16 students is taken. The average age in the sample was 22 years with astandard deviation of 6 years. Construct a 95% confidence interval for the age of the population.
Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400
a. what is the probability of getting more than 12,000 hits?
b. what is the probability of getting fewer than 9,000 hits?
Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits