Start with
Divide both sides by -3
If the absolute value of a number is 4, that number can either be 4 or -4: we have the two solutions
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1 answer:
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A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a relation in which NO two ordered pairs have the same first component and different second components.
The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.
The set of second components (y-coordinates) is the RANGE of the relation.
Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}
Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”
Remember that a function can only take on 1 output for each input.
It helps to plot the points on the graph and perform the Vertical Line Test (VLT):
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
As you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.
Please mark my answers as the Brainliest if you find my explanation helpful :)
A function is a relation in which NO two ordered pairs have the same first component and different second components.
The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.
The set of second components (y-coordinates) is the RANGE of the relation.
Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}
Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”
Remember that a function can only take on 1 output for each input.
It helps to plot the points on the graph and perform the Vertical Line Test (VLT):
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
As you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.
Please mark my answers as the Brainliest if you find my explanation helpful :)
Here's a really cool website that let's you input 3D points!
http://technology.cpm.org/general/3dgraph/
From the attached picture you can see that the point has moved back 5 units, to the left 5 units, and up 5 units.
http://technology.cpm.org/general/3dgraph/
From the attached picture you can see that the point has moved back 5 units, to the left 5 units, and up 5 units.
Y=mx+b,slop intercept form
we need to find the slope.we nned to point
(-8,2) is given you can get the other by understanding the defintion of y-intercept (0,-4)
m=-6/8,b=y-intercept=-4
we need to find the slope.we nned to point
(-8,2) is given you can get the other by understanding the defintion of y-intercept (0,-4)
m=-6/8,b=y-intercept=-4