Topic: use function notation to evaluate equations. Evaluate the given equations for the indicated function values
The questions I need help with;
f(n)=5^n
f(2)=
f(3)=
and
f(n)=-n
f(9)=
f(-11)=
Please, explain & help me :(
If f(n) = 5^n
then f(1) = 5^1 = 5
just replace all the n's with whatever you want. If that's numbers, then you can evaluate the result.
f(n) = -n
f(-3) = -(-3) = 3
and so on.
So, I just replace the letters with whatever number I want then I evaluate? How do I evaluate?
oh come on. I showed you two examples. Surely you can do arithmetic.
To evaluate the given equations using function notation, you simply need to substitute the indicated function values into the equations. Let's go through each of the questions step by step.
1. First equation: f(n) = 5^n
a. f(2): To evaluate f(2), substitute 2 in place of n in the equation:
f(2) = 5^2 = 5 * 5 = 25
Therefore, f(2) equals 25.
b. f(3): To evaluate f(3), substitute 3 in place of n in the equation:
f(3) = 5^3 = 5 * 5 * 5 = 125
Therefore, f(3) equals 125.
2. Second equation: f(n) = -n
a. f(9): To evaluate f(9), substitute 9 in place of n in the equation:
f(9) = -9
Therefore, f(9) equals -9.
b. f(-11): To evaluate f(-11), substitute -11 in place of n in the equation:
f(-11) = -(-11) = 11
Therefore, f(-11) equals 11.
In summary:
- For the equation f(n) = 5^n, f(2) is 25 and f(3) is 125.
- For the equation f(n) = -n, f(9) is -9 and f(-11) is 11.
Remember, to evaluate equations using function notation, you need to substitute the given function values into the equations.