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 .
Area of a right triangle = .5 * leg1 * leg2
Area = .5* 24
Area = 12 square inches
Answer:
v=2
Step-by-step explanation:
8/v+1/2=7/v
1/2=8/v-7/v
1/2=1/v
(1/2)v=1
v=1/1/2
v=1*2/1
v=2
Area = PI * radius ^ 2
area = 3.14159 * 4 ^ 2
area = 3.14159 * 16
<span><span><span>area = 50.26544
</span>
square inches
</span>circumference = 2 * PI * radius
</span><span>circumference = 2 * 3.14159 * 4
</span><span>circumference = </span><span><span><span>25.13272 inches
</span></span></span>
Answer:
12.15 for number 1
Step-by-step explanation: