A function is described by the equation f(x)=x^2-3. The replacement set for the independent variable is (2,4,7,9) What is the corresponding set for the dependent variable
2^2 - 3 = 1
4^2 - 3 = 13
7^2 - 3 = 46 etc :)
Thank you!
To find the corresponding set of the dependent variable, we need to substitute each value from the replacement set into the given function, f(x)=x^2-3, and evaluate the function for each value.
Let's first substitute the value 2 into the function:
f(2) = (2)^2 - 3
f(2) = 4 - 3
f(2) = 1
Now, let's substitute the value 4 into the function:
f(4) = (4)^2 - 3
f(4) = 16 - 3
f(4) = 13
Next, we substitute the value 7:
f(7) = (7)^2 - 3
f(7) = 49 - 3
f(7) = 46
Finally, let's substitute the value 9:
f(9) = (9)^2 - 3
f(9) = 81 - 3
f(9) = 78
So, the corresponding set for the dependent variable is {1, 13, 46, 78}.