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The statements that are true are;
- Function 2 has a greater rate of change than function 1.
- Function 2 has a greater y-intercept than function 1.
Step-by-step explanation:
Given that function 1 has the table;
x y
0 -2
2 0
3 1
5 3
Finding the slope of the linear function gives the rate of change of the function. In this case,
m=Δy/Δx
m=3-1/5-3 = 2/2 =1
The equation of the linear function is given as;
m=Δy/Δx
y-3/x-5= 1
y-3=x-5
y=x-5+3
y=x-2
y-intercept is -2
In function 2, the line passes through points (-2,0) and (0,4)
Finding the slope of the line,
m₁=Δy/Δx
m₁=4-0/0--2
m₁= 4/2 =2
Rate of change is 2
Finding the equation of the line
y-4/x-0 = 2
y-4=2(x-0)
y-4 =2x
y=2x+4
The y-intercept is 4
The statements that are true are;
- Function 2 has a greater rate of change than function 1.
- Function 2 has a greater y-intercept than function 1.
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Linear functions :brainly.com/question/1505806
Keywords : functions, format, graph, line, ordered pair
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