Answer:
- The square root and quadratic function share a y-intercept.
- The range of the square root and absolute value function are the same.
Step-by-step explanation:
Y-intercepts are the same when the curves meet the y-axis at the same point. That is true of the root and quadratic functions.
X-intercepts are the same when the curves meet the x-axis at the same point. None of these functions share an x-intercept.
The ranges of the functions are the same when they have the same vertical extent. The range of the quadratic is different from the range of the other two functions.
The absolute value and root functions have the same minimum (lower end of their range). That is the same as the maximum of the quadratic function.
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The statements that match the graphs are ...
- The square root and quadratic function share a y-intercept.
- The range of the square root and absolute value function are the same.
Step-by-step explanation:
fg(x) =
=
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Hey there! :)
6n + 12 = 6
Isolate our given variable.
We can do this by subtracting both sides by 12.
6n + 12 - 12 = 6 - 12
Simplify.
6n = -6
Divide both sides by 6.
6n ÷ 6 = -6 ÷ 6
Simplify.
n = -1
~Hope I helped!~
We have two terms: 3x^3 and -9x
You have the correct GCF which is 3x. This GCF is factored out and placed to the left of the parenthesis, as you have done correctly so far.
Since 3x times x^2 is equal to 3x^3, this means that you have the proper first term inside the parenthesis. So far so good.
Where you make a mistake is with the second term inside the parenthesis. Notice how 3x times 2 is NOT equal to -9x
You need to fill in the blank:
3x times _________ = -9x
It turns out that -3 goes in that blank since 3x times -3 = -9x
This is why the final answer for problem 3 is 3x(x^2 - 3)
