Question

How do you find $w( - 7)$ if $w(t) = - 2t + 1$?

Answer 1

Hint:Put t=-7 in the function. The value of a function changes with respect to the variable. Here, the variable is t and we are asked to find the value at t=-7. Hence, we will put t=-7 everywhere where t is mentioned in the function. Which means $w(t) = - 2t + 1$ will become $w( - 7) = - 2 \times ( - 7) + 1$. Solving this, we will get our final answer as 15. And we can then conclude that at w=-7, the function holds the value 15.

Complete step by step answer:
The given function w is:-
$w(t) = - 2t + 1$
We have to find the value of $w( - 7)$
Which means t=-7
So, putting t=-7 in the above functions we will get
$w(t) = - 2t + 1 \\
\Rightarrow w( - 7) = - 2 \times - 7 + 1 \\
\Rightarrow w( - 7) = 14 + 1 \\
\therefore w( - 7) = 15 \\ $
Hence, we can conclude that if $w(t) = - 2t + 1$. Then $w( - 7)$ will be equal to 15.

Note:A function written in the form of $w(t)$ means that the function w is dependent on the unknown variable t. This means that the value of w will change every time we put a different value of t. Therefore, while solving questions whenever you are asked to find the value of a function at a particular point. Then only replace the unknown variable in the brackets with the number at which the value of functions is needed. Also, sometimes you will find double dependency or even more than two dependencies of functions like $w(x,y)$ or $w(x,y,z)$. And in those cases if you are asked to find the value of $w(1,2)$ or $w(1,2,3)$.Just put the replace the values in the respective orders. Don’t change the order of the values otherwise you will end up with the wrong answer.