Question

4) If an object is dropped from a tower of unknown height, the velocity of the object after t secondscan be obtained by multiplying t by 32 and adding 10 to the result. Therefore, you can express V asa linear function of t. Find the domain of this function.A) (-.,)B) [1,4]C)[0,-)D) (-1, .)

Answer 1

4) If an object is dropped from a tower of unknown height, the velocity of the object after t seconds

can be obtained by multiplying t by 32 and adding 10 to the result. Therefore, you can express V as

a linear function of t. Find the domain of this function.

Step 1

Let's find that equation!!

define

v as the velocity

Also

"the velocity of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result" in math words ,it is

`\begin{gathered} v=(32\cdot t)+10 \\ \end{gathered}`

where v is the velocity, t the time in seconds

now, we have our function, now we need to find its domain

remember:

The domain of a function f (x) is the set of all values ​​for which the function is defined, and the range of the function is the set of all values ​​that f takes

so, for us

t can take any value, in other words , there are not values for x to make a indetermination

so, t can take any value, the domain is all the real numbers

`\text{Domain=(-}\infty,\infty)`

I hope this helps you