graphing- function f(x)= -x^4+3 starting with basic function

Question

starting with basic function (y=-x^3) graph all stages on a single coordinate plane

f(x)= 3-x^4   I switched it around to read -x^4+3

Answer 1

well for starters, by looking at the function it is going to be a parabula, and since the x is negative it is going to be facing downwards.

to start off graphing it, you can either do it by a graphing calculator or using a table of values, create a T table with a list of x values, and solve for their y values by plugging them into the equation

x                  f(x)                     y               point

-2             -(-2^4)+3            -13           (-2,-13)

-1             -(-1^4)+3              2              (-1.2)

0               -(0^4)+3              3               (0,3)

1                 -(1^4)+3            2                (1,2)

plot those points and graph it, note you can have more points if you need, you only need enough to get a general look on how the graph is going to look.

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