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Determine the asymptote of the function f(x)=(-9)7^x-10

Determine the asymptote of the function\newlinef(x)=(−9)7∧x−10 f(x)=(-9) 7^{\wedge} x-10

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Find derivatives using the chain rule Iright chevron icon

Full solution

Q. Determine the asymptote of the function\newlinef(x)=(−9)7∧x−10 f(x)=(-9) 7^{\wedge} x-10
  1. Recognize function type: Recognize the type of function. f(x)=(−9)7x−10f(x)=(-9)7^x-10 is an exponential function.
  2. Identify horizontal asymptote: Identify the horizontal asymptote. For exponential functions of the form f(x)=abx+cf(x)=ab^x+c, the horizontal asymptote is y=cy=c.
  3. Apply knowledge to function: Apply the knowledge to the given function. The horizontal asymptote of f(x)=(−9)7x−10f(x)=(-9)7^x-10 is y=−10y=-10.

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