A student wishes to sketch the graph of the function .
MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
A student wishes to sketch the graph of the function y=x4.
(a) Part 1: (i) Complete the following table of values.
x
−2
−1
−0.5
0
0.5
1
2
y
(b) Part 2: (ii) Plot the ordered pairs obtained in part (i) and draw a smooth curve to obtain the graph.
(c) Part 3: (iii) Using your graph, write the coordinates of the x-intercepts and the y-intercept.
(d) Part 4: (iv) From the graph, state the domain and range of the function.