## College Algebra 7th Edition

The function $f(x)=3x-2$ is one-to-one because it is a diagonal line and passes the horizontal line test. We can show this algebraically: We start with the assumption that: $x_1\ne x_2$ Then: $3*x_1\ne 3*x_2$ And: $3*x_1-2\ne 3*x_2-2$ So the function would not have the same $y$ value for two different $x$ values (one-to-one).