consider the following function. s(x) = 1/3 x^6 step 2 of 2: find two points on the graph of this function…

consider the following function. s(x) = 1/3 x^6 step 2 of 2: find two points on the graph of this function, other than the origin, that fit within the given -10, 10 by -10, 10 grid. express each coordinate as an integer or simplified fraction, or round to four decimal places as necessary. answer enter the coordinates to plot points on the graph. a: ( ) b: ( )
Answer
Explanation:
Step1: Choose an x - value
Let (x = 1).
Step2: Calculate the corresponding y - value
Substitute (x = 1) into (s(x)=\frac{1}{3}x^{6}), then (s(1)=\frac{1}{3}\times1^{6}=\frac{1}{3}). So one point is ((1,\frac{1}{3})).
Step3: Choose another x - value
Let (x=- 1).
Step4: Calculate the corresponding y - value
Substitute (x = - 1) into (s(x)=\frac{1}{3}x^{6}), then (s(-1)=\frac{1}{3}\times(-1)^{6}=\frac{1}{3}). So another point is ((-1,\frac{1}{3})).
Answer:
A: ((1,\frac{1}{3})) B: ((-1,\frac{1}{3}))