8th Grade Math › Understand Functions: CCSS.Math.Content.8.F.A.1
Select the table that properly represents a function.
Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values.
In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:
Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function:
Find .
Undefined
This question demonstrates that complicated functions are not complicated at every point.
To solve the function at x=1, all that is necessary is familiarity with the operations used.
Select the table that properly represents a function.
Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values.
In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:
Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function:
Select the table that properly represents a function.
Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values.
In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:
Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function:
Define
Which of the following is equivalent to ?
To solve this problem replace every x in with
.
Therefore,
Select the table that properly represents a function.
Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values.
In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:
Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function:
Solve the equation:
To solve the quadratic equation, , we set the equation equal to zero and then factor the quadratic,
. Because these expressions multiply to equal 0, then it must be that at least one of the expressions equals 0. So we set up the corresponding equations
and
to obtain the answers
and
.
Solve for :
To find , we want to factor the quadratic function:
Which of the following equations represents a one-to-one function:
Only equation B maps each value of into a unique value of
and in a similar way each and every value of
maps into one and only one value of
.
Select the table that properly represents a function.
Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values.
In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:
Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: