Question

can someone help me with a couple of problems. I just started this class and i am lost.

For the given equation, list the intercepts and test for Symmetry. y=x^3-1000

Answer 1

to find intercept, we plug in a variable = 0 and see what the value for the corresponding variable must be

for example, y=x^3-1000

we find the y intercept by setting the value of x = 0, and seeing what y equals

so y = (0)^3 - 1000

the value for y here is the y position of they intercept (0,y)

we do the same for finding the x intercept, except we set y = 0 and solve for x. this will make the x intercept (x, 0)

Answer 2

so you are saying that the x being x^3 really doesn't matter?

Answer 3

for the sake of getting the intercepts, no, you just set either variable to 0, and the intercept shows up
because an intercept is just when the function TOUCHES the axis