The campers at a summer camp were asked to choose a favorite activity. The table shows the activities chosen by 200 campers.
2 answers:
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g(1)=-1 : We need to check values of function for x=1. From the graph, we can see, for x=1 the value of y is 1.
So, g(1)=-1 is false.
g(0)=0 : We need to check values of function for x=0. From the graph, we can see, for x=0 the value of y is 0.
So, g(0) =0 is true.
g(4)=-2 :We need to check values of function for x=4. From the graph, we can see, for x=4 the value of y is going up but it's not equal to -2.
So, g(4)=-2 is false.
g(1)=1 :We need to check values of function for x=1. From the graph, we can see, for x=1 the value of y is 1.
So, g(1) =1 is true.
g(-1)=1 :We need to check values of function for x=-1. From the graph, we can see, for x=-1 the value of y is 1.
So, g(-1)=1 is true.
g(4)=2 :We need to check values of function for x=4. From the graph, we can see, for x=4 the value of y is going up but it's not equal to 2.
So, g(4)=2 is false.
Answer:
-3 1/3
Step-by-step explanation:
The quadratic
... y = ax² +bx +c
has its extreme value at
... x = -b/(2a)
Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.
To find the minimum value, we need to evaluate the function for x=2/3.
The most straightforward way to do this is to substitue 2/3 for x.
... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2
... y = (4 -8 -6)/3 = -10/3
... y = -3 1/3
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<em>Confirmation</em>
You can also use a graphing calculator to show you the minimum.
