Answer: The correct option is c
Step-by-step explanation:
From the graph shown in the given figure, we need to find the equation of the line. We will use the slope intercept equation to get the equation if the line.
Formula for slope intercept equation is
y = mx + c
where m is the slope and c is the intercept.
Slope, m = (change in value of y) / (change in value of x)
Slope = (y2 -y1) / (x2 -x2)
From the graph,
y2 = 0, y1 = 2
x2 = 2, x1 = 0
Slope, m= (0-2) / (2-0) = -2/2 = -1
Intercept from the graph is the point at which the line cuts the y axis an it is 2
So the equation is
y = -x + 2
From the graph,
The upper region was shaded( which means the lower region satisfies the equation) and the line of the equation is broken. So the equation is y lesser than -x + 2
The correct option is c
Hey there!
A function is a relation to numbers in which an input value as a specific output value.
a) Is a function. All x values go to specific y values. For domain, look at the x values. You go from 2 to 8. So, 2≤x≤8 (we can assume the line just goes this long since we are not given anymore information) For the range, we have the same thing. It goes from 5 to 8. 5≤y≤8
b) Is not a function. 1 cannot go to two y-values.
c) Is not a function. Does not pass vertical line test.
d) Is a function. Passes the vertical line test. For the domain on this one, it would be infinite, which you could represent as (-∞,∞) It is infinite because the line as two arrows that continue forever. For the range, it would be anything greater than 2. y≥2 or 2≤y
The question stated you only needed to find the domain and range for the functions, so you would just do it for a) and d).
I hope this helps!
~kaikers
Answer:
Step-by-step explanation:
First, we can find the slope of the line.
Using the equation, we can solve for b
Let's see if works
It checks out!
Answer:
True
Step-by-step explanation:
The variance of a data set gives you a rough idea of how spread out your data is. A small number for the variance means your data set is tightly clustered together and a large number means the values are more spread apart.
Its B because 2(14)-12 is 16. Since there is an absolute value next to 2, the answer could be 14 or -14.