See attachment for the graph of the piecewise function h(x)
<h3>How to plot the function?</h3>The function is given as:
h(x) = | -4, x < 3
| x + 5, x >= 3
The above function is a piecewise function.
It has 2 separate functions at two domains
This means that we plot the sub-functions in the piecewise function at their respective domain
See attachment for the graph of the piecewise function h(x)
Read more about piecewise function at:
#SPJ1
Answer:
(a)
(b)
The distance traveled in 30 seconds is 45 miles
(c)
It takes 85 seconds to go 12.75 miles
Step-by-step explanation:
we are given
An airplane is flying from New York City to Los Angeles
d is the distance traveled in miles
t is time in second
we have equation as
(a)
we have to find speed
we can see that our distance equation is in linear form
For finding speed, we can compare our equation with equation of line
and slope of the line will be speed
because slope is the rate of change
where m is slope
so, we can compare
and we get
so,
(b)
we can plug t=30 and find d
miles
so, The distance traveled in 30 seconds is 45 miles
(c)
we can set d=12.75 and solve for t
So,
It takes 85 seconds to go 12.75 miles