se the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 6 to 6 in increments of 1. An upward slanting line passing through two plotted points is graphed on the plane. The line passes through points plotted at coordinates left parenthesis 0 comma negative 3 right parenthesis, and left parenthesis 3 comma 0 right parenthesis.
The graph of a relation is given. Apply the vertical line test to determine if this relation is a function.
(1 point)
Responses
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.
Yes, the given relation is a function.
Yes, the given relation is a function.
No, the given relation is not a function.
No, the given relation is not a function.
The relation is a straight line.
11 answers
Responses
2y−5x=9
2 y minus 5 x equals 9
x2+y=33
x squared plus y equals 33
y=−12x+78, x≠0
y equals negative Start Fraction 12 over x End Fraction plus Start Fraction 7 over 8 End Fraction comma x is not equal to 0
y=2x3+4
y = -12x + 78, x ≠ 0
This is a linear function because it is in the form of y = mx + b, where m is the slope and b is the y-intercept.
Responses
2y−5x=9
2 y minus 5 x is equal to 9 - no response given
x^2+y=33
x squared plus y is equal to 33 - no response given
y=−12/x+7/8, x≠0
y=−12/x+7/8, x≠0
y=2x^3+4
y is equal to 2 x cubed plus 4 - no response given
2y - 5x = 9
This is not currently in slope-intercept form y = mx + b, so we will rearrange it:
2y - 5x = 9
2y = 5x + 9
y = 5/2 x + 9/2
Therefore, the linear function is y = 5/2 x + 9/2.
?(1 point)
Responses
(−3,6)
left parenthesis negative 3 comma 6 right parenthesis
(0,−1)
left parenthesis 0 comma negative 1 right parenthesis
(−3,−10)
left parenthesis negative 3 comma negative 10 right parenthesis
(−2,−3)
1. For point (-3, 6):
y = (-3+1)^3 - 2
y = (-2)^3 - 2
y = -8 - 2
y = -10
This means that (-3, 6) does not belong to the graph, as the y-coordinate should be -10 instead of 6.
2. For point (0, -1):
y = (0+1)^3 - 2
y = 1^3 - 2
y = 1 - 2
y = -1
This point satisfies the equation, so it belongs to the graph.
3. For point (-3, -10):
y = (-3+1)^3 - 2
y = (-2)^3 - 2
y = -8 - 2
y = -10
This point satisfies the equation, so it belongs to the graph.
4. For point (-2, -3):
y = (-2+1)^3 - 2
y = (-1)^3 - 2
y = -1 - 2
y = -3
This point satisfies the equation, so it belongs to the graph.
Therefore, the point that does not belong to the graph of the function y = (x+1)^3 - 2 is (-3, 6).
(1 point)
Responses
November, December, and January
November, December, and January
October, November, and December
October, November, and December
January, May, and December
January, May, and December
June, July, and August
June, July, and August
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
According to the given graph, which of the following are the wettest months of the year?
(1 point)
Responses
November, December, and January
November, December, and January
October, November, and December
October, November, and December
January, May, and December
January, May, and December
June, July, and August
June, July, and August
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November, December, and January