Edwinlm8888idn
Answered

Find the best solutions to your problems with the help of IDNLearn.com. Our experts are ready to provide prompt and detailed answers to any questions you may have.

(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:

a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.

Look At Screenshot 7 The Graph Represents The Height Of A Passenger Car On A Ferris Wheel In Feet As A Function Of Time In Seconds Use The Graph To Help You A F class=

Sagot :

Mhanifaidn

Step-by-step explanation:

Use the graph to dtermine the answer for each part of question

a)

  • H(0) = 5

b)

  • H(t) = 0 has no solution as its minimum value is 5 feet

c)

  • The domain all positive rational numbers, since time is zero or positive.

d)

  • The range changes between 5 and 55 feet, according to the graph.
Semsee45idn

Answer:

a.   5 ft

b.   No - see below

c.   [0, ∞)

d.   [5, 55]

Step-by-step explanation:

From inspection of the graph:

  • x-axis:  t = time (in seconds)
  • y-axis:  H(t) = height (in feet)

Part a

When H(0), t = 0  ⇒  y-intercept.

Therefore, from inspection of the graph, H(0) = 5 ft

Part b

H(t) = 0 does not have a solution as the curve never touches the y-axis (when y = 0).

Part c

Domain: set of all possible input values (x-values)

The domain is time (t) (x-axis), therefore the domain is [0, ∞)

Part d

Range: set of all possible output values (y-values)

From inspection of the graph, the lowest value of H(t) is 5 and the highest value of H(t) is 55.  Therefore, the range is [5, 55]

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.