Question

Can someone check my work? using the graph below, i wrote the range of the function as an inequality, using set notation and interval notation.
My answer: Inequality: -1 < y < ∞
Set notation: {x| -1 < y < ∞ }
Interval notation: (-1, ∞ )

Answer 1

First of all, your set notation doesn't make sense. Translated to words your set notation would mean something like: the set of all x (in the real numbers, I assume) for which y is greater than -1... You get the point.

Answer 2

oh i mean { y | -1 < y < ∞ }

Answer 3

Now that makes more sense.
What exactly are you trying to do here? I don't really get what you are trying to accomplish.

Answer 4

the question is: Write the range of the function as an inequality, using set notation and interval notation. based on the graph i show

Answer 5

Check your answer again. Either you posted the wrong picture or we have a different understanding of range ;)

Answer 6

how would u do this then? please help

Answer 7

You are looking for the values \[y \in \mathbb{R} \] for which there exists \[x \in \mathbb{R} \] such that y = f(x), assuming f is the function of which we are given the graph. Now since it is graphed here you can simply take a look at the maximum value on the y-axis and the 'minimum' value.

Answer 8

From the picture we can see that the maximum value of the function on the y-axis is 4 and the minimum value should be -inf.

Answer 9

ohh ok so it would be 4< y < - ∞ ?, my mistake i said -1 because i was looking at the x axis

Answer 10

Almost. Should be \[4 \ge y > -\infty\]

Answer 11

Your expression doesn't contain any values, because there exist no real values which are greater than 4 but also smaller than -inf.

Answer 12

ok thank you!