Answer:
Option 1. Lynn, only
Step-by-step explanation:
The correct question is
Listen Lynn, Jude, and Anne were given the function f(x)=-2x^2+32, and they were asked to find f(3). Lynn's answer was 14, Jude's answer was 4, and Anne's answer was (+/-)4. Who is correct?
1. Lynn, only
2. Jude, only
3. Anne, only
4. Both Lynn and Jude
we have
[tex]f(x)=-2x^{2} +32[/tex]
This is a vertical parabola open downward (leading coefficient is negative)
The vertex is a maximum
we know that
f(3) means, the value of f(x) when the value of x is equal to 3
so
For x=3
substitute in the quadratic equation and solve for f(x)
[tex]f(3)=-2(3^{2}) +32[/tex]
[tex]f(3)=-18 +32[/tex]
[tex]f(3)=14[/tex]
therefore
Lynn's answer is correct
