SOLUTION: Which facts are true for the graph of the function below? Check all that apply. F(x) = 4 5x A. The range of F(x) is y > 5. B. It is decreasing. C. It is increasing

Question 924955: Which facts are true for the graph of the function below? Check all that apply.
F(x) = 4 5x
A. The range of F(x) is y > 5.
B. It is decreasing.
C. It is increasing.
D. The y-intercept is (0, 5).
E. The y-intercept is (0, 4).
F. The domain of F(x) is all real numbers.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Assuming the function is , then we have this graph

from it we can see that

* it is increasing on the ENTIRE domain. Basically it is always increasing

* it looks like it crosses y = 0, aka the x axis, at some point, but it never does because this is the horizontal asymptote. So the range is

* the y-intercept is (0,4). The green graph crosses the y axis at 4.

* the domain is the set of all real numbers (the graph stretches from left to right with no holes, gaps, jumps, etc)

----------------------------------------------------------------------

So the answers are: C, E, F.

The other statements are false.

IF choice A said "range is y > 0", then A would be true. However it doesn't.
Choice B is the opposite of C, so it has to be false since C is true.
You can only have one y-intercept, so if E is true, then D has to be false.
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