The range is the set of all second elements of ordered pairs (y-coordinates). As you know what the maximum y value is then it shouldn't be too hard to construct an inequality involving y or f(x).
Original post by keromedic
The range is the set of all second elements of ordered pairs (y-coordinates). As you know what the maximum y value is then it shouldn't be too hard to construct an inequality involving y or f(x).
English please
Original post by Psst.
English please
Above is the graph of .
You know that the maximum is at y=9. What, then, can you say about the possible values of y? What can y be?
Original post by Psst.
Find the greatest value of State the range of the function
So, the greatest value of this quadratic is 9, but how do I find the range of the function??
So, the greatest value of this quadratic is 9, but how do I find the range of the function??
sketch the graph
range is associated with y values.
Assuming the whole graph is there the range is y<=9
range =
Original post by TeeEm
sketch the graph
range is associated with y values.
Assuming the whole graph is there the range is y<=9
range is associated with y values.
Assuming the whole graph is there the range is y<=9
Why can't y be greater than 9
Original post by Psst.
Why can't y be greater than 9
because the vertex of the graph is at (3,9) (highest point)
Original post by TeeEm
because the vertex of the graph is at (3,9) (highest point)
Just realised what's going on! Thanks Grandad
Original post by Psst.
Find the greatest value of State the range of the function
So, the greatest value of this quadratic is 9, but how do I find the range of the function??
So, the greatest value of this quadratic is 9, but how do I find the range of the function??
I find it easy to sketch out the graph.
The range = what the y values can be.
In this case, your stationary point is y=9 and the curve is a upside down u.
So the y values are gonna stat at 9 and decrease
So y≤9
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