The ranges values of the function f(x) are: {-89,-9,7} - Option D.
Domain and Range
The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
Here, you need to replace the domain values in the given equation.
f(x)=-2x²+9
f(x)=-2*(-3)²+9
f(x)=-2*9+9
f(x)=-18+9=-9
- For x=1
- f(x)=-2*(1)²+9
- f(x)=-2*1+9
- f(x)=-2+9=7
- For x=7
- f(x)=-2*(7)²+9
- f(x)=-2*49+9
- f(x)=-98+9=-89
Learn more about the range here:
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