Question

Which function has a horizontal asymptote of y = 3?

Answer 1

The answer is D f(x)=2(4^x)+3

Answer 2

All of the four functions are exponential functions of the form:$f(x)=Pa^{x}+Q$

Where,

• P changes the parent function's, $f(x)=a^{x}$, slope (more steep or less steep)
• Q shifts the parent function, $f(x)=a^{x}$, 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: $f(x)=2(4^{x})+3$