Answer:
The domain: all real numbers;
the range:
Step-by-step explanation:
The domain and the range of the parent function are all real numbers and all real numbers that are greater or equal to 0.
Given graph of the function is translated graph of the parent function 2 units down. Thus, the domain of the function
is the same as the domain of the parent function and the range is
Answer:
First question: 1270
Second question: 4080
Step-by-step explanation:
Here is the Sum formula:
where n represents the number of terms, and
is the first term, and
is the last term.
Let's look at the first question:
k is the first number of the sequence, 5, and 20 is the last number of the sequence.
You can find the first term () by substituting k in the formula for 5.
3(5)+26=15+26=41
You can find the last term () by substituting k for 20 into the formula.
3(20)+26=60+26=86
now, knowing there are 20 terms in total, , and
, we can put it into the Sum formula.
Answer to the first question: 1270
Next question:
Even though the given formula uses n as the variable, this problem works the same way as the previous one.
Substitute n in the formula for k, which is 5 to find the first term: 14(5)+29=99
Substitute 20 for n to find the second term: 14(20)+29=309
Now assemble the Sum formula:
Answer to the second question: 4080