QuestionEugenia Cheng
A student is taking a test with 5 problems on it. For each problem the student answers correctly, the student receives 20 points. The graph shows the points earned as a function of correct answers. What is the range of the function?
Studdy Solution
STEP 1
What is this asking? If a student can get 20 points for each correct answer out of 5 questions, what are all the possible total scores they can get? Watch out! Don't mix up the number of correct answers with the total points earned!
STEP 2
1. Figure out the possible number of correct answers.
2. Calculate the points for each possibility.
3. Determine the range.
STEP 3
Let's think about this!
A student can get anywhere from **zero** correct answers to all **five** correct answers.
That means they could get , , , , , or questions right.
It's important to consider *all* the possibilities!
STEP 4
Now, let's see how many points each number of correct answers would give the student.
Remember, they get **20 points** for each correct answer.
STEP 5
If they get correct answers, they get points.
STEP 6
If they get correct answer, they get points.
STEP 7
If they get correct answers, they get points.
STEP 8
If they get correct answers, they get points.
STEP 9
If they get correct answers, they get points.
STEP 10
And finally, if they get all correct answers, they get points.
Woohoo, perfect score!
STEP 11
The **range** of a function is the set of all possible output values.
In this case, it's all the possible total points the student can earn.
We've already calculated them all!
STEP 12
So, the range is .
That's it!
STEP 13
The range of the function is .
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