The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. how many roots of f(x) are rational numbers

The root of the function is such point for which

The attached graph of the function   shows, that the graph of the function intersects the x-axis in three points (2,0), (3,0) and (4.5,0).

This means that for

Thus, x=2, x=3 and x=4.5 are rational roots of the polynomial function f(x).

three rational roots.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy