If y=2x+1 were changed to y=1/2x+1, how would the graph of a new function compare with the first one?

Question

Johan Woodward

Mathematics

2 November, 01:29

If y=2x+1 were changed to y=1/2x+1, how would the graph of a new function compare with the first one?

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Beans · Answer 1

1) The two functions are straight lines. 2) The two functions have the same y-intercept, i. e. y=1. then both graphs cross each other at (0,1), 3) the graph of y = 2x + 1 has slope 2, while graph of y = 1/2 x + 1 has slope 1/2, then both are growing functions, but the former is steeper, this is its rate of change is greater than the rate of change of the second.