2. 
Domain: 
, because any value of 
is allowed and gives a number 
.
Range: 
, because 
for any positive real 
.
y-intercept: This is a point of the form 
. So plug in 
; we get 
. So the intercept is (0, 2), or just 2. (Interestingly, you didn't get marked wrong for that...)
Asymptote: This can be deduced from the range; the asymptote is the line 
.
Increasing interval: Going from left to right, there is no interval on which is increasing, since 1/4 is between 0 and 1.
Decreasing interval: Same as the domain; is decreasing over the entire real line.
End behavior: The range tells you 
, and you know is decreasing over its entire domain. This means that 
as 
, and 
and 
.
3. 
Domain: Same as (2), 
.
Range: We can rewrite 
. 
for all , so 
for all . Then the range is 
.
y-intercept: We have 
, so the intercept is (0, -6) (or just -6).
Asymptote: 
Increasing interval: Not increasing anywhere
Decreasing interval:
End behavior: Similar to (2), but this time as and 
as .
478(900) + 478(95)
Hope this helps!
5 ft + 12 ft = 17 ft
<span>9 in + 3 in = 12 in = 1 ft </span>
<span>17 ft + 1 ft = 18 ft
</span>hope this helps
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
