1) function 2) not a function
the first one is a function because its y values are the same number (3), which means it is a horizontal line and horizontal lines are functions.
the second one is not a function because the coordinates cannot have different inputs but different outputs. each input must have only one output.
the coordinates for the second one are:
(2,5); (1,1); (1,2); (3,2)
and <u>a function cannot have two same x-coordinates</u>. it must pass the vertical line test which is a way to tell if something is a function or not. since the second graph does not pass the vertical line test, it is not a function
hope this helps :)
Answer:
y=0.5x+8
Step-by-step explanation:
Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.
To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):
We can take two points from the graph: (2,9) (4,10)
m=(y₂-y₁)/(x₂-x₁)
m=(10-9)/(4-2)
m=1/2 or 0.5
Now sub this value in for m and our formula looks like this:
y=0.5x+c
To find the value of c, sub in one of the points, eg. (4,10)
y=0.5x+c
10=0.5(4)+c
10=2+c
c=8
So now that we now m and c, our equation is complete :D
y=0.5x+8
To solve for x, add 3 to both sides, multiply both sides by -1, then take the square both sides.
Answer:
C
Step-by-step explanation:
From the table we see that
Thus, the inverse function has the rule
This gives us that ordered pairs
are on the graph of the inverse function
Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
