Question

Given that a function, f(x), has a domain of -15 SXS 45 and a range of -65 s f(x) S-5 and that f(5) = -17 and f(-15) = -65, select
each statement that could be true for f(x).
f(50) = -35
f(25) = -10
f(5) = -42
f(45) = -65
f(20) = -10

Answer 1

Answer:

True options f(25) = -10

                      f(45) = -65

                      f(20) = -10

Step-by-step explanation:

Note that domain of function f(x) is (-15, 45).

Range is (-65 , -5).

In first option f(50) = -35. Here 50 is not in domain thus this point is not on the graph of f(x).

In second f(25) = -10.Value of x and function  both are in domain and range thus acceptable.

In third f(5) = -42. Already given that f(5)=-17 thus it is false.

In fourth f(45) = -65. This is extreme boundary for domain and range also it is true.

In fifth f(20) = -10. This is also true as this point lie on function graph.

Answer 2

The domain and the range of a function are the set of input and output values of the function.

The true statements are:

• f(25) = -10 is true
• f(45) = -65 is true
• f(20) = -10 is true

The domain and the range of function f(x) are given as (-15, 45) and (-65 , -5).

This means that:

• The input value of the function is from between -15 and 45 (exclusive)
• The output value of the function is from between -65 and -5 (exclusive)

The above highlights mean that:

• f(50) = -35 is false, because the input is out of the domain
• f(25) = -10 is true
• f(5) = -42 is false, because f(5) = -17
• f(45) = -65 is true
• f(20) = -10 is true

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