graph (-2,.25) (-1,.5) (0,1) (1,2) (2,4) what is the graph type, explanation, domain and range.?

Question

college algebra question.

Answer 1

It looks like an exponential function, meaning as x increases linearly (-2, -1, 0, 1, 2), y increases exponentially (.25, .5, 1, 2, 4)

It appears that the function is given by:
y = 2^x

For just this portion of the function,
your domain (x values) is:
(-2, -1, 0, 1, 2)
and the range (y values) is:
(.25, .5, 1, 2, 4)

However, if you expand the function as far as it will go in either direction:
your domain (x values) would be:
R (all real numbers): -infinity < x < infinity
your range (y values) would be:
R+ (all positive real numbers): 0 < y < infinity

Going in the negative direction, your function approaches the x-axis (y = 0) asymptotically. That's why it doesn't hit or go below 0. The link below shows the graph of your function.

Answer 2

You should do your own homework but here is a clue...the domain deals with the x values and range deals with the y values....if you plot these points in your TI-83+ it will show you the graph and give u the range and the domain.

Answer 3

It looks like an exponential graph. If it's so (if it keeps growing in that way), the domain is from -inf to +inf. and the range is from 0 to inf.