Question

Consider functions f and g in the table below.

x f(x) g(x)
-1 -2.5 -3.67
0 -1 -3
1 1.5 -1
2 5 5
3 9.5 23
4 15 77
5 21.5 239

After which value of x does function g exceed function f?

A.) x = 2
B.) x = 3
C.) x = 0
D.) x = 5

Answer 1

Answer:

B.

Step-by-step explanation:

Answer 2

The value of x does function g exceed function f is at x = 2.

Concept:

• Draw the graph of the given plot.
• Identify the point of intersection of both the plots.
• Check the value of x when function g exceeds f.

How to solve the given question?

• Drawing the graph of given plot (shown in figure)
• The point of Intersection of f(x) and g(x) is x=2 where f(x) = 5 and g(x) = 5.
• At x=2 , the graph of g(x) crosses and exceeds the graph of f(x).
  

The value of x does function g exceed function f is at x = 2.

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