How do I decide if it’s a real solutions or extraneous solutions?
1 answer:
Step-by-step explanation:
So you can check for extraneous solutions by plugging in the 5 and -2 as x.
Plug 5 in as x
I'm not sure if this is exactly considered an extraneous solution, but I'm assuming it is, since technically the radical doesn't have a plus/minus in front of it, so it's the principle square root which means it only outputs the positive values. This would mean that the -2 wouldn't be a solution, since the principle square root doesn't output negative values, so it's a function, since if it outputted 2 values, then it wouldn't be a function by definition.
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Answer:
Both functions have negative rates of change
Function B has a greater rate of change than Function A
Step-by-step explanation:
we know that
<em>Function A</em>
The rule for Function A is
This is the equation of a proportional relationship (the line passes through the origin)
The slope is equal to
<em>Function B</em>
Find the equation of the function B
we have the points (-2,0) and (0,-2)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute the values
The equation of the function B in slope intercept form is equal to
we have
substitute
<u><em>Verify each statement</em></u>
Option 1) Both functions have negative rates of change
The statement is true
Because, the rate of change is the slope of the linear equation
Function A ---->
Function B ---->
Option 2) Both functions have the same rate of change.
The statement is false (see the explanation)
The rate of change are different ( m=-2/3 and m=-1)
Option 3) When graphed, Function A and Function B are parallel
The statement is false
When graphed, Function A and Function B are intersecting lines, because their slopes are different
Option 4) Function B has a greater rate of change than Function A
The statement is true
Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes
therefore
1 > 2/3