Identify the domain of the exponential function shown in the following graph. Explain how you know.
1 answer:
Answer:
The domain of the function is R i.e. any real value.
Step-by-step explanation:
The given figure is a graph on the coordinate plane of the function
Now, the domain of a function means that the values of x (Independent variable) for which the function is valid i.e. the y values are real.
It is clear from the equation given above that for any real value of x there will be a real corresponding value of y.
Therefore, the domain of the function is R i.e. any real value. (Answer)
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Answer:
The equation for the situation is:
where represents the number of questions initially assigned to each student by the teacher.
On solving, we find that 5 questions were originally assigned to each student by the teacher.
Step-by-step explanation:
Question:
Five students came for after-school tutoring. Priya’s teacher assigned each of them the same number of problems to complete. Then she assigned 2 more problems to one of the students. 27 problems were assigned in all. Use y as the variable. Write an equation for the situation. Then, find the number of problems originally assigned to each by the teacher.
Given:
Total number of students = 5
Total problems assigned = 27
To find the number of problems originally assigned by the teacher.
Solution:
Let the number of problems originally assigned by the teacher to each student be =
If each student is assigned questions initially.
Then, 5 students was initially assigned = questions
The teacher then assigned 2 more problems to one of the students.
So, the total number of questions now assigned will be given as:
⇒
Total problems assigned = 27
Thus, we have:
Solving for
Subtracting both sides by 2.
Dividing both sides by 5.
∴
Thus, each student was originally assigned = 5 questions