Question

can someone help me on a problem

Answer 1

The equation is

$f(x)=4^x$

This is an exponential equation, we just keep multiplying each value by 4 to get the next value.

Thus the common ratio is 4.

ii. The y-intercept is the point the graph cuts the y-axis, also the point where x = 0. Putting x = 0, into the equation, we obtain.

$f(x)=4^0=1$

Thus, the y-intercept is (0, 1 )

iii. The horizontal asymptote.

The horizontal asymptote is the horizontal line the graph approaches.

Since the function is an exponential one. with zero y-intercept.

The horizontal asymptote is the line

$y=0$

Or the x-axis.

Therefore, The horizontal asymptote is the line y = 0