The graph of a relation is given. Apply the vertical line test to determine if this relation is a function.
(1 point)
Responses
Yes, the given relation is a function.
Yes, the given relation is a function.
There is not enough information to determine whether this relation is a function.
There is not enough information to determine whether this relation is a function.
No, the given relation is not a function.
No, the given relation is not a function.
The relation is a half-circle.
Which of the following is an ordered pair of the relation y=−23x+6 ?(1 point)
Responses
(3,8)
left parenthesis 3 comma 8 right parenthesis
(1,4)
left parenthesis 1 comma 4 right parenthesis
(0,−23)
left parenthesis 0 comma negative Start Fraction 2 over 3 End Fraction right parenthesis
(3,4)
The ordered pair (3, 4) is a solution of the relation y = -23x + 6.
Which of the following is an ordered pair of the relation y=−2/3x+6 ?(1 point)
Responses
(3,8)
left parenthesis 3 comma 8 right parenthesis
(1,4)
left parenthesis 1 comma 4 right parenthesis
(0,−23)
left parenthesis 0 comma negative Start Fraction 2 over 3 End Fraction right parenthesis
(3,4)
The ordered pair (3, 4) is a solution of the relation y = -2/3x + 6.
Which of the following gives an example of a function that is not linear?(1 point)
Responses
y=x2−3x+2.25
y equals x squared minus 3 x plus 2.25
y=1/6x+2/3
y equals Start Fraction 1 over 6 End Fraction x plus Start Fraction 2 over 3 End Fraction
9x+3y−18=0
9 x plus 3 y minus 18 equals 0
2x+3y=16
The function y = x^2 - 3x + 2.25 is an example of a function that is not linear.
Which experimental setup would let a student investigate the connection between kinetic energy and temperature?(1 point)
Responses
placing one drop of food coloring in a cup with 50 mL of water at 10ºC; placing one drop of food coloring in a second cup with 50 mL of water at 40ºC
placing one drop of food coloring in a cup with 50 mL of water at 10ºC; placing one drop of food coloring in a second cup with 50 mL of water at 40ºC
placing one drop of food coloring in a cup with 50 mL of water at 10ºC; placing one drop of food coloring in a second cup with 100 mL of water at 10ºC
placing one drop of food coloring in a cup with 50 mL of water at 10ºC; placing one drop of food coloring in a second cup with 100 mL of water at 10ºC
placing one drop of food coloring in a cup with 50 mL of water at 10ºC; placing two drops of food coloring in a second cup with 100 mL of water at 40ºC
placing one drop of food coloring in a cup with 50 mL of water at 10ºC; placing two drops of food coloring in a second cup with 100 mL of water at 40ºC
placing one drop of food coloring in a cup with 50 mL of water at 10ºC; placing two drops of food coloring in a second cup with 50 mL of water at 10ºC
The experimental setup that would let a student investigate the connection between kinetic energy and temperature is: placing one drop of food coloring in a cup with 50 mL of water at 10ºC; placing one drop of food coloring in a second cup with 50 mL of water at 40ºC.
To apply the vertical line test, imagine drawing vertical lines at different points on the graph. If any vertical line intersects the graph at more than one point, then the relation is not a function.
In this case, the graph of the relation is a half-circle. You can clearly see that for each x-value (horizontal position) on the graph, there is only one y-value (vertical position) associated with it. No matter where you draw a vertical line, it will only intersect the graph at one point. Therefore, this indicates that the relation is a function and the answer is "Yes, the given relation is a function."