Question

Help? Please Graph too! Explain in as much steps as possible how to graph it? If I try and answer my way through it, I will literally fail--I kid you not. I would really appreciate it if you'd take some time to type out the steps with the solutions. I know that's much, but please--I really need this!

Answer 1

The domain is the set of x-values that are "allowed". As your diagram shows, any x value will work for f(x) except for x = -1, since at x=-1, f(x) is undefined because it tries to divide by zero.

So the domain is "x is all real numbers, not including x = -1"

Answer 2

My connection is failing :(

Range is the values of f(x) that result from x inputs.

For large positive x values (maybe 1 million, just for fun), 1/(x+1) gets really small... not zero, but approaching zero... but it's still positive.

For large negative x values (like negative 1 million), 1/(x+1) gets really small and approaches zero, but this time from the negative side (below the x axis).

For x values near x=-1, the function "blows up" and gets near infinity. But when it's x values slightly bigger than x=-1 (like x = -0.99999999999), it's a positive infinity. For x values less than x= -1, like x = -1.000000000000001, it goes towards a negative infinity.

Answer 3

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIxLyh4KzEpIiwiY29sb3IiOiIjMDAwMDAwIn0seyJ0eXBlIjoxMDAwfV0-