Which function has a horizontal asymptote of y = 3?

Students were requested to answer a question at institution and to indicate what is most important for them to succeed. Of many reactions, one which that stood out was practice. Successful persons surely are not born successful; they become successful by just hard work and persistence. This is how you can complete your goals. in the following paragraphs are one of the answer and question example that you could certainly implement to practice and boost your practical knowledge and also give you insights that should guide you to maintain your study in school.

Question:

Which function has a horizontal asymptote of y = 3? f(x) = 3(2^x)
f(x) = 2(4)^x–3
f(x) = 2(3^x)
f(x) = 2(4^x) + 3

Answer:

All of the four functions are exponential functions of the form:

Where,

  • P changes the parent function’s, , slope (more steep or less steep)
  • Q shifts the parent function, , upwards if Q is positive and downwards if Q is negative.

The parent function looks like the first image attached. Note that the x-axis (y=0) is the horizontal asymptote.

Since question asked for a function with horizontal asymptote of y=3, we can shift the function 3 units above by changing Q to +3. The fourth option has an equation of an exponential that has Q value of +3. This is the correct choice.

ANSWER:

From the answer and question examples above, hopefully, they can guide the student deal with the question they had been looking for and take notice of every piece declared in the answer above. You might possibly then have a discussion with your classmate and continue the school learning by studying the problem collectively.

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