f(x) = x^3g(x) = –1 – x^2 –10 –8 –6 –4 –2^246810
–2
–4
–6
–8
–1010
8
6
4
2–10 –8 –6 –4 –2 2 4 6 8 10
–2
–4
–6
–8
–1010
8
6
4
2ANSWERS & EXPLANATIONS–- c.The function f(x) = xx
2
2 ++^13 has no vertical asymptote since no value ofxmakes the denominator equal to
zero, and has the horizontal asymptote y= 1.- d.The function f(x) = x^3 is an example that shows that both statements aand bare true. And the func-
tion g(x) = –1 – x^2 illustrates the truth ofstatementc. Their graphs are as follows: