jaydencordle06
jaydencordle06 jaydencordle06
  • 24-06-2021
  • Mathematics
contestada

What is the y-intercept of the function f(x) = -4.2^x​

Respuesta :

Corsaquix
Corsaquix Corsaquix
  • 24-06-2021

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

The y-intercept always occurs when [tex]x=0[/tex]. To find the y-value of the y-intercept, substitute [tex]x=0[/tex] into your equation:

Given [tex]f(x)=-4.2^x[/tex], when [tex]x=0[/tex]:

[tex]f(x)=-4.2^0,\\f(x)=-(1)=-1[/tex]

  • Recall that [tex]n^0=1[/tex] for [tex]n\in \mathbb{R}[/tex]

Therefore, the y-intercept of this function is [tex](0, -1)[/tex].

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