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 .
Answer: i’m confused
Step-by-step explanation:
Answer:
2x+3 / x = 1
Step-by-step explanation:
Answer: 1625
Step-by-step explanation:
From the question, we are informed that Joe makes a map of his neighborhood for a presentation and that the scale of his map is 1 inch: 250.
Then, it should be noted that a 6.5 inches would represent:
= 6.5 × 250
= 1625
The answer is 1625
Answer:
see below
Step-by-step explanation:
A multiplier on the function value moves its y-coordinate farther from the x-axis by that multiplier value. It is the stretch factor. Stretch factors less than 1 cause the graph to be compressed vertically.
__
A multiplier on the independent variable means it doesn't need to be as large to give the same function value. That is, multiplication of x by a factor of k compresses the graph horizontally by that factor of k. Equivalently, it does a horizontal stretch by a factor of 1/k.