Answer :
Key Ideas
- Solving with functions
Solving the Question
We're given:
- [tex]f(a) = 3a - a^2[/tex]
Determine f(-5):
[tex]f(a) = 3a - a^2\\f(-5) = 3(-5) - (-5)^2\\f(-5) = -15 - 25\\f(-5) = -40[/tex]
Therefore, this statement is true.
Determine f(4):
[tex]f(a) = 3a - a^2\\f(4) = 3(4) - (4)^2\\f(4) = 12 - 16\\f(4) = -4[/tex]
Therefore, this statement is true as well.
Determine f(-1):
[tex]f(a) = 3a - a^2\\f(-1) = 3(-1) - (-1)^2\\f(-1) = -3 - 1\\f(-1) = -4[/tex]
Therefore, this statement is not true.
Determine f(0):
[tex]f(a) = 3a - a^2\\f(0) = 3(0) - (0)^2\\f(0) = 0 - 0\\f(0)=0[/tex]
Therefore, this statement is also not true.
Answer
f(-5) = -40
f(4) = -4