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:
x = 22 y = 9
Step-by-step explanation:
Let me know if you need an explanation! Hope this helped :)
Answer:
Part A: Linear relationship
Part B: Using the dividing method
Slope = -3.325
y-intercept is (0, 88.5)
Step-by-step explanation:
Part A
The is an approximately linear relationship between the temperature of his city and the number of chocolate sold
Part B
The line of best fit can be drawn by
1) Plot the data points on the graph
2) Divide the number of data points into two with a vertical dotted line
3) Mark the center of the data on each side of the dividing central line with an a or x
4) Draw a straight line through the x marks that extends to the plot edges
5) The straight line drawn is the line of best fit
The approximate slope is found from points (0, 90) and (20, 20) using the formula for gradient, m, such that we have;
Where:
y₁ = 88
x₁ = 0
y₂ = 22
x₂ = 20
Therefore;
From the graph, the y-intercept is approximately (0, 88.5) while the x intercept is approximately (26.5, 0)
Answer:
d) 500 scoops
Step-by-step explanation:
looking at the trend of scoops sold per year, 500 seems to be the correct answer. let me know if this is wrong.
Answer:
f(x)= 5x+2
Step-by-step explanation:
Slope is 5, y intercept is (0,2)