Three times Tara's age decreased by 2 years is the same as twice her age increased by 13 years. How old is
1 answer:
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Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
A(-5,5)
B(4,5)
C(2,0)
D(-5,-2)
AB,BC,CD,DA
AB = [4-(-5)),5-5]=[9,0]
Lenght
BC = [2-4,0-5]=[-2,-5]
Lenght
CD = [-5-2,-2-0]=[-7,-2]
Lenght
DA =[-5-(-5),-2-5]=[0,-7]
Lenght
sorted from longest to shortest:
AB, CD,DA,BC
B(4,5)
C(2,0)
D(-5,-2)
AB,BC,CD,DA
AB = [4-(-5)),5-5]=[9,0]
Lenght
BC = [2-4,0-5]=[-2,-5]
Lenght
CD = [-5-2,-2-0]=[-7,-2]
Lenght
DA =[-5-(-5),-2-5]=[0,-7]
Lenght
sorted from longest to shortest:
AB, CD,DA,BC