Question

Here is a table of values for y=f(x)

Answer 1

The items below discuss each choices and states whether the statements are true or false.

(A) It can be seen from the table that if the value of x is -2 then, the value of y is 6. Therefore, this statement is TRUE.

(B) The term range refers to the values of y that can be the result of substituting any x value to the equation generated from the given data. As per table, it can be seen that the values of y can range from negative infinity to positive infinity so long as the number of real. This statement is TRUE.

(C) The choice says f(5) = -2. This statement is FALSE because it should be written as, f(-2) = 5 given that x is the independent variable and y or f(x) is the dependent variable.

(D) The domain is the range of number that the values of x may take. As per the table, the domain is at -2 to 6. Therefore, this statement is TRUE.

Answer 2

The correct options are A and D.

Step-by-step explanation:

The given table represents the values for y=f(x).

In the given table x values represents the input values and f(x) values represents the output values.

The value of f(x) is 6 at x=-1, so the value of f(-1) is 6.

Therefore option A is correct.

Range is the set of outputs. So, the range of the function is

Range = {5, 6, 7, 8, 9, 10, 11, 12, 13}

Therefore option B is incorrect.

The value of f(x) is 12 at x=-2, so the value of f(-2) is 12.

Therefore option C is incorrect.

Domain is the set of inputs. So, the domain of the function is

Domain = {-2, -1, 0, 1, 2, 3, 4, 5, 6}

Therefore option D is correct.

Therefore the correct options are A and D.