Mathematics
Grade10
Easy

Question

The graph of the function g(x) = aIxI includes the point (1, 16). What is another point on the graph of the function? What is the value of a?

  1. (-1, 32), a = 16    
  2. (-2, 32), a = 16    
  3. (1, 32), a = 32    
  4. (-1, 32), a = 32    

hintHint:

We plug in the values of x's and find out the value of a by equating the value of y in the given coordinates.

The correct answer is: (-2, 32), a = 16


    Step 1 of 2:
    For, x = 1; aIxI = aI1I = a
    Since (1, 16) is on the graph, so for y = 16; we get a = 16.
    Hence, the original equation is given by
    g(x) = 16IxI
    Step 2 of 2:
    To find out another point on the graph, we follow the below checkings:
    x = -1, g(x) = 16I(-1)I = 16
    x = -2, g(x) = 16I(-2)I = 32
    x = 2, g(x) = 16I2I = 32
    Final Answer:
    The right choice is-- B. (-2, 32), a = 16

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