Question

Which of the following is true about the function y= 4 * 3tothepowerofx

Answer 1

Only true statement for function f(x) = $4(3^{x})$ is c.  if the value of x increases by 1, the value of y will triple.

Step-by-step explanation:

a.  the function decreases

f(x) = $4(3^{x})$ , For value of x<1 function decreases and for x>1 function increases . False statement .

c.  if the value of x increases by 1, the value of y will triple.

For value of x increases by 1 we have , $f(x) = 4(3^{x+1}) = 4(3^{x})(3) = f(x) (3) = y(3)$ . True statement.

b.  the function has a y-intercept of (0, 3)

At y intercept x=0, f(x) = $4(3^{x})$ , $f(0) = 4(3^{0}) = 4$ . Function has a y-intercept of (0,3). False statement.

d.  the function contains the point (1, 4)

At x=1, $f(1) = 4(3^{1}) = 12$ . Function contains (1,12) not (1,4) . False statement.