Question

Finding the range of a function. (I'm attaching the question so hold on please.)

Answer 1

The range of the function is the y values, just for some pre-background information.

Answer 2

Firstly, do you know how the range of a function is defined?

Answer 3

don't you have to know the domain (possible x values) first

Answer 4

Yes it would nice nice to have an idea of the graph and maybe even to graph it yourself.

Are you allowed to use a calculator?

Answer 5

yes

Answer 6

I would look at the graph 2x-3 first.
Picture what the graph would be like. It says that the graph ranges from x > 1

Would it make sense to tell you that when x = 1, y = -1 for the graph?

Answer 7

f(1) = 2(1) -3
f(1) = -1

Answer 8

yes

Answer 9

Then we can look at the other graph, (x-1)^2
This graph will not go below the x axis, but will reach all the way to infinity.
This tells me that 2x-3 has the lowest point of the graph

Meaning that when x approaches -1, but doesn't quite hit it, the y range is defined.

Answer 10

@KirbyLegs you mean when f(x) approaches -1?

Answer 11

Well correct. When the graph approaches the x value of 1, the y value is -1

This would mean that the answer is A) y > -1 for all values of the graph

Answer 12

thank you so much Kirby for explaining so well

Answer 13

Welcome :)