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.