this week we specifically looked more into functions and finding the function equations. So I’m gonna show you how to find the function relation using the equation.
Let’s say I have, f(x) = 2x – 3 To start let’s first find out what each part represents:
f = the function can be any letter in the alphabet, represents your y variable too
(x) = this is your input; the value you substitute in to solve the equation
f(x)= this is your input all together
2x – 3 = this is the equation; when solved is your output value
Now that we know what each component is in the function relation, we can solve it using the given x value. For example let’s use 5:
instruction: first we substitute in our x value, now we can solve using BEDMAS
instruction: first you do multiplication –> 2×5=10 then you do subtraction –> 10-3=7, so now we know that 7 is our output/y value
Now lets say you didn’t get the x value at the start but on the equation and the output value.
Like, f(x)=2x-3, f(x)=7, then you would just use algebra to find the x value/input value:
instruction: first we get x alone by ridding of the 3, byb doing the opposite action (+). Now we get x alone again by getting rid of the 2 by dividing. So now we know that x=5; the input value is 5
hope that helped!