Seudónimo Seudónimo
  • 23-03-2021
  • Mathematics
contestada

Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Respuesta :

Аноним Аноним
  • 23-03-2021

Answer:

[tex]y = 2(0.5) {}^{x} [/tex]

Step-by-step explanation:

Use the general formula of exponential equation

[tex]y = ab {}^{x} [/tex]

Plug 0,2 into the function

[tex] - 2 = ab {}^{0} [/tex]

[tex] - 2 = a \times 1[/tex]

[tex]a = - 2[/tex]

[tex]y = - 2b {}^{x} [/tex]

[tex] - 4 = - 2b {}^{ - 1} [/tex]

[tex]2 = b {}^{ - 1} [/tex]

[tex] {2}^{ \frac{ 1}{ - 1} } [/tex]

[tex]2 {}^{ - 1} = 0.5[/tex]

B=0.5

[tex]y = 2(0.5) {}^{x} [/tex]

Answer Link

Otras preguntas

The reform bill of 1832 lowered the property requirements for voting in order to give voting rights to the
What is the slope of the line y = 5?
Which phrase best describes the electron transport chain in photosynthesis?
In a sale there is 10% of all prices.a chair costs £63 in the sale.hoow mutch was it before the sale?
What is the name of the model developed by scientists to describe the arrangement of molecules within this structure?
Why does dimmesdale stand on the very proudest?
The policy of naming each product differently is known as _____ branding.
Who is the most important person of the renaissance?
ONLY 26 please hellppppp!!!!!!
What are two things that you observed when you heated the mixture of tin and nitric acid over the Bunsen burner in the virtual lab, and why was it necessary to