Questions: Determine if the relation is a function. [ (11,17),(5,-8),(16,1),(5,-19),(-9,8) ]

Determine if the relation is a function. [ (11,17),(5,-8),(16,1),(5,-19),(-9,8) ]
Transcript text: Determine if the relation is a function. \[ \{(11,17),(5,-8),(16,1),(5,-19),(-9,8)\} \] Yes No
failed

Solution

failed
failed

Solution Steps

Step 1: Understand the Definition of a Function

A relation is a function if each input (x-value) corresponds to exactly one output (y-value). In other words, no two ordered pairs in the relation can have the same x-value with different y-values.

Step 2: Analyze the Given Relation

The given relation is: \[ \{(11,17),(5,-8),(16,1),(5,-19),(-9,8)\} \] We need to check if any x-value is repeated with different y-values.

Step 3: Identify Repeated x-Values
  • The x-value 5 appears twice: once with y = -8 and once with y = -19.
  • All other x-values (11, 16, -9) are unique.
Step 4: Determine if the Relation is a Function

Since the x-value 5 corresponds to two different y-values (-8 and -19), the relation is not a function.

Final Answer

\[ \boxed{\text{No}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
In a group of seven Olympic track stars, six are hurdlers. If three track stars are selected at random without replacement, find the probability that they are all hurdlers. Express your answer as a decimal rounded to four places if necessary.
failedAnswered
Solve the application problem. The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. A cylinder contains oxygen at a temperature of 320 degrees K and a pressure of 17 atmospheres in a volume of 140 liters. Find the pressure if the volume is decreased to 130 liters and the temperature is increased to 340 degrees K. (Round your answer to one decimal place.) 19.3 x atmospheres
failedAnswered
Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1. 9^u=a
failedAnswered
Given the formula F= ma where - F represents force, - m represents mass and has units of kilograms ( kg ), and - a represents acceleration and has units of meters per second squared (m/s^2) Select an appropriate measurement unit for force. (A) kg/s (B) kg * m/s^2 (C) kg * m^2/s^2 (D) kg * m/s
failedAnswered
Identify the reactant that is oxidized in the following reaction: Cu(s) + 2 Ag^+(aq) -> Cu^2+(aq) + 2 Ag(s) View Available Hint(s) Ag(s) Ag^+(aq) Cu(s) Cu^2+(aq)