Answer:
B
Explanation:
what is f(x) usually "called" ?
right, y !
the secant line is a line (just a simple, straight line) through 2 points of the other curve.
that means, both points are on the curve AND on the line.
and that means that their y value must be the result of both equations, when the corresponding x value is used.
so, for point 1 we have x = -1.
y = f(-1) = -1⁵ - 2×-1³ = -1 - 2×-1 = -1 + 2 = 1
so, point 1 is (-1, 1)
for point 2 we have x = 0
y = f(0) = 0⁵ -2×0³ = 0
so point 2 is (0, 0)
now, all answer options except C also contain (0, 0).
for C to be correct it would mean that 0 = -1.
and that is definitely wrong.
that leaves A, B, D, E
which one also contains the point (-1, 1) ?
A says then 1 = -2×-1 = 2. that is wrong.
B says 1 = - -1 = 1. that is correct.
D says 1 = -1. that is wrong.
E says 1 = 3×-1 = -3. that is wrong.
so, B is the right answer.