Consider the given function. Which statement about the functions is true?
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Answer:
the correct answer is D. Funtion 1 and 3 have the same rate of change but funtion 1 has greater y intercept
Step-by-step explanation:
If we organize the funtion 1, we have y= 2x+8
Funtion 2 the need to calculate the slope m = (y2-y1)/(x2-x1) the point on the y represent (y2,x2) and is (4,0) the point onn the x axis is (x1,y1) and is (-2,0)
So, m=(4-0)/(0-(-2) => m=(4/2) => m=2
Then, y=m(X-Xo) + Yo . From the plot, I choose (x2,y2) as (Xo,Yo) So, (0,4)
y=2(X-0) +4 then y= 2x+4
From 3 equation the choose the value x=o and g(x)= 5 and x=1 and g(x)=7 and following the same m=(7-5)/(1-0) the slope is m=2. Following the same procedure before I choose x=0 and y=5
Then the equation is: y=2(x-0) + 5
So, opcion D is true