Answer :
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.
Answer:
Given: Two functions, y = 2x + 1 ............... Function 1
and [tex]y=\frac{1}{2}x+1[/tex] .................. Function 2
Both functions are of straight line.
Slope-Point form of straight line is, y = mx + c
where , m = Slope of line and c = y intercept of line.
By comparing with Slope-Point form of straight line
we get,
Both lines have same y intercept.
But slope of function 1.i.e., 2 which is more than slope of function 2.i.e., [tex]\frac{1}{2}[/tex]
Graph of straight line depends on the value of slopes.
line with more value of slope is more steeped than line with lesser value of slope.
Therefore, Function 1 is more steeped than Function 2.
