Question

Consider the tables that represent ordered pairs
corresponding to a function and its inverse.
When comparing the functions using the values in the
table, which conclusion can be made?
Y
f(x)
0
1
1 2.
10 100
x
10
1,000 100
3 2.
O According to the tables, f(x) does not have a y-
intercept.
O According to the tables, f'(x) does not have an X-
intercept.
O The domain of f(x) is restricted such that x = 0, so
the domain of f'(x) is restricted such that y 2 0.
O The range of f(x) includes values such that y 1, so
the domain of f'(x) includes values such that x 2 1.

Answer 1

According to the table the inverse of f(x) does not have an x-intercept

Functions and values

The y-intercept of the point where the x-values are zero. From the table of the function f(x), the function has a y-intercept at the point where x = 0

For the table of its inverse, there is no point where y is zero, hence the inverse of the function has no x-intercept

We can therefore conclude that according to the table the inverse of f(x) does not have an x-intercept

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