Which of these statements is true for f(x) = 5 • (6)x? a. it is always decreasing. b. the y-intercept is (0, 5). c. the y-intercept is (0, 1). d. the domain of f(x) is x > 0.

Given equation is

Now we need to choose correct statement(s) from the given choices.

(A): It is always decreasing.

Given function is an exponential function with growth factor (6) which is more than 1. Hence it will be increasing function.

So this choice is FALSE.

(B): The y-intercept is (0, 5).

y-intercept can be found by plugging x=0 into given equation

which same as given y-intercept (0,5)

So this choice is TRUE.

(C): The y-intercept is (0, 1).

As shown above, y-intercept is (0,5) not (0,1)

So this choice is FALSE.

(D): The domain of f(x) is x > 0

For any exponential function, domain is all real number not just x>0,

So this choice is FALSE.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option