Question

Jack and Nina are graphing two equations on a coordinate grid. Jack has graphed the equation y = 2x. If Nina graphs y = 5x, where will her graph be in relation to the graph Jack made? A) For all x > 0 the graph will be higher. B) For all x > 0 the graph will be lower. C) For all x the graph will be higher. D) For all x the graph will be lower.

Answer 1

What you can do for this case is to evaluate some points in both functions to realize the behavior:
x 5x 2x
-2 -10 -4
-1 -5 -2
0 0 0
1 5 2
2 10 4
We have then:
For all x> 0 the graph will be higher
answer:
A) For all x> 0 the graph will be higher.