Respuesta :
Only true statement for function f(x) = [tex]4(3^{x})[/tex] 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) = [tex]4(3^{x})[/tex] , 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 , [tex]f(x) = 4(3^{x+1}) = 4(3^{x})(3) = f(x) (3) = y(3)[/tex] . True statement.
b. the function has a y-intercept of (0, 3)
At y intercept x=0, f(x) = [tex]4(3^{x})[/tex] , [tex]f(0) = 4(3^{0}) = 4[/tex] . Function has a y-intercept of (0,3). False statement.
d. the function contains the point (1, 4)
At x=1, [tex]f(1) = 4(3^{1}) = 12[/tex] . Function contains (1,12) not (1,4) . False statement.
