## Calculus with Applications (10th Edition)

(a) $$f(x)=5$$ This function is a horizontal line and has slope $0$ the derivative is $0$. (b) $$f(x)=x$$ This function has slope 1 the derivative is 1. (c) $$f(x)=-x$$ This function has slope -1 the derivative is -1. (d) $$f(x)=3$$ This function is vertical line and has undefined slope the derivative does not exist. (e) $$f(x)=mx+b$$ This function has slope $m$ the derivative is $m$.
(a) $$f(x)=5$$ This function is a horizontal line and has slope $0$ the derivative is $0$. (b) $$f(x)=x$$ This function has slope 1 the derivative is 1. (c) $$f(x)=-x$$ This function has slope -1 the derivative is -1. (d) $$f(x)=3$$ This function is vertical line and has undefined slope the derivative does not exist. (e) $$f(x)=mx+b$$ This function has slope $m$ the derivative is $m$.