1. A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y with entries 9, 0, negative 7, negative 1.What is the range of the given function? {x | x = –5, 1, 4, 6} {y | y = –7, –1, 0, 9}{x | x = –7, –5, –1, 0, 1, 4, 6, 9}{y | y = –7, –5, –1, 0, 1, 4, 6, 9}
2. A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0).What is the domain of the function shown in the mapping? {x | x = –5, –3, 1, 2, 6}{y | y = –9, –6, 0, 2, 4}{x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6}{y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}
3. Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.A 2-column table with 4 rows. The first column is labeled x with entries 0, 0.5, 1, 1.5. The second column is labeled y with entries 40, 39.25, 38.5, 37.75.What is the range of this function?all real numbers such that y ≤ 40all real numbers such that y ≥ 0all real numbers such that 0 ≤ y ≤ 40all real numbers such that 37.75 ≤ y ≤ 40
5. On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).What is the range of the function on the graph?all real numbersall real numbers greater than or equal to 0all real numbers greater than or equal to 1all real numbers greater than or equal to 2
6. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0).What is the range of the function on the graph?all real numbersall real numbers less than or equal to –1all real numbers less than or equal to 3all real numbers less than or equal to 0
7. Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.A 2-column table with 4 rows. The first column is labeled x with entries 0, 2, 5, 7. The second column is labeled y with entries 11, 25, 46, 60.What is the range of the function?all real numbersall real numbers greater than or equal to 0all real numbers greater than or equal to 11all integers greater than or equal to 11
8. Which graph shows a set of ordered pairs that represents a function?On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3).On a coordinate plane, solid circles appear at the following points: (negative 5, 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3).On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1).On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1).
9. The table shows ordered pairs of the function . What is the value of y when ?A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12.–20–8848
10. The table shows the number of cups of water required when cooking different amounts of rice.
Amount of
Rice
(cups) Amount of
Water
(cups)
2 5
3 7.5
5 12.5
8 20
Which statements apply to the ratio of rice and water? Choose two options.
The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation.
5 answers
Sure! Here are the answers to your questions:
The range of the given function with y-values of -7, -1, 0, and 9 is {y | y = –7, –1, 0, 9}.
The domain of the function, based on the x-values from the ordered pairs, is {x | x = –5, –3, 1, 2, 6}.
The range of Raj’s bathtub function, based on the y-values provided (40, 39.25, 38.5, 37.75), is all real numbers such that 37.75 ≤ y ≤ 40.
The range of the given function is {y | y = –9, –3, 0, 5, 7}.
The range of the function on the graph that begins at (1, 2) and ends at (5, 4) is all real numbers greater than or equal to 2.
The range of the function on the graph that crosses various points is all real numbers less than or equal to 3 (the highest y-value observed is at (−1, 3)).
The range of the function representing Livia’s protein consumption is all integers greater than or equal to 11.
The graph that represents a function is the one with points (−5, 2), (−4, −4), (−3, 4), (−2, 2), (2, −2), (4, 3), as it does not have duplicate x-values.
To find the missing y-value when x = 8 in the table, we can determine the pattern or use interpolation from the previous pairs. However, based on visualizing the table and ordered pairs, the missing value is likely to be -8.
The two statements that apply to the ratio of rice and water are The amount of water is the dependent value and The amount of rice is the independent value.
If you have more questions or need further clarifications, feel free to ask!
for 8 what graph 1 2 3 or 4??
To determine which graph represents a function, we need to check for the vertical line test. A relation is a function if no vertical line intersects the graph at more than one point.
Graph 1: Points: (−5, 4), (−3, 2), (−1, 3), (1, 1), (1, −2). Not a function (the x-value 1 maps to two different y-values: 1 and -2).
Graph 2: Points: (−5, 2), (−4, −4), (−3, 4), (−2, 2), (2, −2), (4, 3). A function (each x-value is unique).
Graph 3: Points: (−4, 2), (−1, 4), (1, 0), (2, 3), (2, −3). Not a function (the x-value 2 maps to two different y-values: 3 and -3).
Graph 4: Points: (−4, 2), (−3, −4), (−3, 4), (−2, 1), (2, −3), (3, −1). Not a function (the x-value -3 maps to two different y-values: -4 and 4).
Therefore, the graph that represents a function is Graph 2.
80!!
80!!
It seems like you're excited about the number 80! If you meant to express something related to the mathematical concept of "double factorial," which is denoted by the double exclamation mark (!!), I can help explain that!
Double Factorial:
The double factorial of a non-negative integer \( n \) (denoted as \( n!! \)) is defined as the product of all integers from \( n \) down to 1 that have the same parity (even or odd) as \( n \).
For even integers:
\[
n!! = n \times (n-2) \times (n-4) \times \ldots \times 2
\]
For odd integers:
\[
n!! = n \times (n-2) \times (n-4) \times \ldots \times 1
\]
1 answer