Answered

Discover a world of knowledge and community-driven answers at IDNLearn.com today. Discover comprehensive answers to your questions from our community of knowledgeable experts.

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

Sagot :

Greenleafableidn
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.

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.