I am going to give you all the answers after I explain how to answer these questions by yourself. Basically, just substitute the numbers into the function accordingly.
For example, lets say I have the arbitrary function:
f ( x ) = 6 x + 2
If I want to calculate f ( 1 ) of that function, replace all x 's with 1.
f ( 1 ) = 6 ( 1 ) + 2 = f ( 1 ) = 6 + 2 = f ( 1 ) = 8
Done! Lets try calculating f ( 2 )
f ( 2 ) = 6 ( 2 ) + 2 = f ( 2 ) = 12 + 2 = f ( 2 ) = 14
Those are just some examples. There are many. Without further ado, here are the answers:
1)-2 2)4 3)10 4)-36 5)16 6)30 7)6 8)61
Thank you, and I hope that helped you.
1. p ( n ) = − 3 n 2 + 1 ⇒ p ( − 1 ) = − 3 ⋅ ( − 1 ) 2 + 1 = − 3 + 1 = − 2 3. w ( t ) = t 3 + 2 ⇒ w ( 2 ) = 2 3 + 2 = 8 + 2 = 10 5. k ( n ) = n 2 − 4 − n ⇒ k ( 5 ) = 5 2 − 4 − 5 = 25 − 9 = 16 7. h ( a ) = a 2 − 5 a ⇒ h ( 6 ) = 6 2 − 5 ⋅ 6 = 36 − 30 = 6
2. h ( n ) = 2 n 2 + 4 ⇒ h ( 0 ) = 2 ⋅ 0 2 + 4 = 4 4. f ( a ) = − 3 a 2 − 3 a ⇒ f ( 3 ) = − 3 ⋅ 3 2 − 3 ⋅ 3 = − 27 − 9 = − 36 6. f ( a ) = a 2 − a ⇒ f ( 6 ) = 662 − 6 = 36 − 6 = 30 8. p ( n ) = n 2 − 3 ⇒ p ( 8 ) = 8 2 − 3 = 64 − 3 = 61
To evaluate a function, substitute the value into the function's formula and perform the calculations. For example, to evaluate f ( 4 ) in the function f ( x ) = 3 x + 5 , substitute 4 for x and calculate. This process applies to any function you are working with.
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