Question

1

2
6
5
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3
C
4
Which is the graph of f(x) = 3(-/-)₁ ?
y
5
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74
6
4
3
y

Answer 1

The graph of the function f(x) = 3(2/3)ˣ is graph 4. This is shown below

How do we identify the function graph?

Y-Intercept:

When x=0, the value of f(x) will always be the coefficient in front of the base to the power of x, which is 3 in this case.

⇒ f(0) = 3(2/3)⁰ = 3

So the y-intercept is at the point (0,3).

⇒ f(1) = 3(2/3)¹

When x is 1 y = 2

We can look for these coordinates.

The function is decreasing as x increases, which is a characteristic of exponential decay functions.

The only graph that meets the above condition is graph 4 as shown below.