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Math  /  Algebra

QuestionWhat is the range of this function?

Studdy Solution

STEP 1

What is this asking? Find out the **smallest** and **largest** y y -values from the given points on the graph! Watch out! Don't confuse x x -values with y y -values.
We're only interested in the **vertical** values here!

STEP 2

1. Identify the y y -values
2. Determine the range

STEP 3

Let's list out all the y y -values from the points given.
Remember, these are the numbers that tell us how high or low each point is on the graph!
- For the point (−2,1)(-2, 1), the y y -value is **1**. - For the point (0,−3)(0, -3), the y y -value is **-3**. - For the point (1,4)(1, 4), the y y -value is **4**. - For the point (3,0)(3, 0), the y y -value is **0**. - For the point (4,5)(4, 5), the y y -value is **5**.

STEP 4

Now, let's gather all these y y -values together: 1,−3,4,0,5 1, -3, 4, 0, 5 .

STEP 5

To find the range, we need to figure out the **smallest** and **largest** y y -values from our list.
This will tell us how far the graph stretches vertically!

STEP 6

Look at the list of y y -values: 1,−3,4,0,5 1, -3, 4, 0, 5 .
- The **smallest** y y -value is **-3**. - The **largest** y y -value is **5**.

STEP 7

The range of the function is from **-3** to **5**.
In interval notation, that's [−3,5][-3, 5].

STEP 8

The range of the function is [−3,5][-3, 5].

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