Hello!
We can go through the choices and see if they are true
Choice 1
A function has one output for every input
This is not a function because it has -1 as an output for both 4 and -1
This is the answer
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Choice 2
The inputs are the x's
We see that the inputs are -1, 0, 3, and 4
This is true
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Choice 3
The outputs are the y's
We see the outputs are -2, -1, and 1
This is true
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Choice 4
We can follow the lines and see the relations are
(-1, 1), (0, -2), (3, 1), (4, -1)
This is also true
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The only one that was false was the first choice so that is the answer
The answer is A) The diagram represents a function
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Hope this helps!
Answer:
wow u call that 6th grade
Step-by-step explanation:
I am in 8th grade and dont get this at all.
never touched the topic
First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
Answer:
$20
Step-by-step explanation:
to check
16/20
divide
= .80
times 100
80%
Answer:
The answer is A
Step-by-step explanation: look at the picture for explanation
