Question

Compare the key features (slope and y-intercept)

of each linear function g with those of the graph
of f(x) 2x+3. Describe how the value of k
affects the key features. SEE EXAMPLES 1, 2, AND 3
23. g(x)= 3(2x + 3)
25. g(x) = (2x + 3)
24. g(x)= 2(0.5x) + 3
26. g(x) = 2(1)x+ 3

Answer 1

Explanation:

The definition of k is not given. Is k the slope?

See the attached graph of all the equations. The referenced equation, f(x) = 2x+3 is the top equation and the line is shown in black. This line has a slope of 2 and a y-intercept of +3.

The g(x) functions are also graphed, and noted. Two of the g(x) equations are the same as the reference equation: 25 and 26. Both have a slope of 2 and a y-intercept of +3.

#23 has a slope of 6 and a y-intercept of 9. This has the steepest rise of all the lines (higher slope).

#24 has a slope of 1 and a y-intercept of +1. This has the slowest rise, but it is still a positive sdlope (going up)