Final answer:
To find where the function g(x)=-⁵x + 5 crosses the axes, solve g(x)=0 for x-intercepts and substitute x=0 for the y-intercept. Then, use a table of points to plot the function on a graph to show the dependence of y on x.
Step-by-step explanation:
The question involves finding where the function g(x)=-⁵x + 5 crosses the x-axis and the y-axis. To determine these points, we first set g(x) to zero to find the x-intercepts (where the graph crosses the x-axis). Setting -⁵x + 5 = 0 will give us the points on the x-axis where the function crosses.
For the y-intercept, we find where the function crosses the y-axis, which is when x=0. Substituting x=0 into the equation g(0) = -⁵(0) + 5 provides us with the y-intercept.
The process of plotting these points involves creating a table of x and y values and then placing these on the coordinate plane to visually represent the dependence of y on x. For example, using a table with points (1,5), (2,10), (3,7), and (4,14), we would connect these points accordingly to produce a graph that shows plotting data pairs and their relationship.