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The table of values represents the function g(x) and the graph shows the function f(x).

 

xg(x)g(x)

−5 ,4

−4 ,1

−3 ,0

−2 ,1

-1,4

 

Which statement about the functions is true?

 

f(−2) is greater than g(−2)

f(x) and g(x) intersect at exactly two points.

f(x) is greater than g(x) for all values of x.

f(x)  and  g(x) are both absolute value functions.

 May 28, 2020
 #1
avatar+23245 
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Is f(-2) greater than g(-2)

--  by graph, f(-2) = 2; by table, g(-2) = 1  --  Which is greater?

 

Do f(x) and g(x) intersect at exactly two points?

--  f(-5) = 3; g(-5) = 4

    f(-4) = 2; g(-4) = 1

    f(-3) = 1; g(-3) = 0

    f(-2) = 2; g(-2) = 1

    f(-1) = 3; g(-1) = 4

   For the same value of x, goes f(x) = g(x) for two points?

 

Is f(x) greater than g(x) for all values of x?

--  look at the list for the second question; if f(x) always greater than g(x) for the same value of x.

 

f(x) is an absolute value of x. It creates a v-shape and it there are straight rays coming from the vertex

Graph g(x) -- is there a v-shape?  are there straight rays coming from the vertex?

 May 28, 2020
 #2
avatar+28 
0

Thank you so much really appreciate the help 

RichBoiiiKen  May 28, 2020

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