Match the graph with its inequality.

I tried but got the wrong answer. Can someone help and explain?

I

Step-by-step explanation:

This is a dotted line so we can automatically eliminate, b, e, g, h,  and j. The shading in greater than, so we can eliminate a, and d.

Now all we have left are c, f and *i,

*(because if converted to y intercept the sign will flip because the y is negative in this equation.)

Now convert to y intercept form (y=mx+b).

Flip the sign because some are negative.

C. y>(-5/2)x+0

F. y>-2x+9

I. y>(4/3)x-(5/3)

Now use rise over run, or you could just look at the b. B is equal to the y-intercept. It can't be 0 or 9, and (-5/3) is equal to -1.67. So isn't that the closest to what the y intercept looks like in the graph?

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3