Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Construct the exponential function that contains the points (0,−5) and (4,−80)

Sagot :

raphealnwobi

The exponential function that contains the points (0,−5) and (4,−80) is:

y = -5(2ˣ)

An exponential function is given by:

y = a(bˣ)

where y, x are variables, a is the value of y when x is 0, and b is a constant.

Given the points  (0,−5) and (4,−80):

We can deduce that a = -5, since when x = 0, y = -5. The equation becomes:

y = -5(bˣ)

At point  (4,−80):

-80 = -5(b⁴)

16 = b⁴

[tex]b=\sqrt[4]{16} \\\\b=2[/tex]

Hence the exponential function is: y = -5(2ˣ)

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.