Answer:
i. D:All real numbers
ii.R:
iii. Y-int:
Step-by-step explanation:
The given function is
The domain of this function are the values of x that makes the function defined.
The absolute value function is defined for all real values.
The domain is all real numbers.
ii. The range refers to the values of y for which x is defined.
The vertex of this function is
The function is reflected in the x-axis.
The vertex is therefore the maximum point on the graph of the function.
The range is therefore;
Or
iii. To find the y-intercept, we substitute
into the funtion.
The y-intercept is
The graph is shown in the attachment.
Answer:
y = 8/5x - 3
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(-19 - 5) / (-10 - 5)
-24 / -15
= 8/5
Plug in the slope and a given point into y = mx + b, and solve for b
y = mx + b
5 = 8/5(5) + b
5 = 8 + b
-3 = b
Plug in the slope and b into y = mx + b
y = 8/5x - 3
So, the equation is y = 8/5x - 3
Answer: The slope of the line is
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
Then, given the points and , you can identify that:
Knowing these values you can substitute them into the formula for calculate the slope:
Finally, evaluating, you get that the slope of that line is:
1. If you have 1 first then... 1,2,3,4 - 1,3,2,4 - 1,2,4,3 - 1,3,4,2 - 1,4,3,2 - 1,4,2,3
2. If you have 2 first the.... 2,1,3,4,- 2,1,4,3 - 2,3,1,4 - 2,3,4,1 - 2,4,3,1- 2,4,1,3
3. And so one with 3,4
Hope this helps:)