3.3.6 - Practice: Function Tables and Rules Practice
I REALLY need help with this
1. Which set of values correctly completes the function?
x
y = –9x
0
?
1
?
2
?
3
?
A. 0, 9, 18, 27
B. 0, –9, –18, –27
C. –9, –10, –11, –12
2. Which set of values correctly completes the function table?
x
y = x – 11
0
?
1
?
2
?
3
?
A. –11, –10, –9, –8
B.
11, 10, 9, 8
C.
0, –10, –9, –8
3. Which set of values correctly complete the function table?
x
y = x ÷ 3
0
?
1
?
2
?
3
?
A. 0, one-third, two-thirds, 1
B. 0, 3, three-halves, 1
C. 3, one-third, two-thirds, 1
4. Which set of values correctly completes the function table?
x
y = 2x + 3
0
?
1
?
2
?
3
?
A. 3, 5, 7, 9
B. 2, 5, 7, 9
C. 3, 8, 10, 12
5. Which set of values correctly completes the function table? Remember, x2 = x • x.
x
y = 5 – x2
0
?
1
?
2
?
3
?
A.
0, 4, 1, –4
B.
5, 4, 1, –1
C. 5, 4, 1, –4
6.
What is the rule for the function table below?
x
y
1
5
2
8
3
11
4
14
A. y = x + 4
B. y = x + 2
C. y = 3x + 2
To solve these questions, we need to substitute the given values of x into the given function and evaluate the corresponding y-values. Let's go step by step and solve each question:
1. Given function: y = -9x
When x = 0, substitute it into the function:
y = -9(0)
y = 0
When x = 1, substitute it into the function:
y = -9(1)
y = -9
When x = 2, substitute it into the function:
y = -9(2)
y = -18
When x = 3, substitute it into the function:
y = -9(3)
y = -27
The correct set of values to complete the function is:
A. 0, 9, 18, 27
2. Given function: y = x - 11
When x = 0, substitute it into the function:
y = 0 - 11
y = -11
When x = 1, substitute it into the function:
y = 1 - 11
y = -10
When x = 2, substitute it into the function:
y = 2 - 11
y = -9
When x = 3, substitute it into the function:
y = 3 - 11
y = -8
The correct set of values to complete the function is:
A. -11, -10, -9, -8
3. Given function: y = x / 3
When x = 0, substitute it into the function:
y = 0 / 3
y = 0
When x = 1, substitute it into the function:
y = 1 / 3
y = 1/3
When x = 2, substitute it into the function:
y = 2 / 3
y = 2/3
When x = 3, substitute it into the function:
y = 3 / 3
y = 1
The correct set of values to complete the function is:
A. 0, 1/3, 2/3, 1
4. Given function: y = 2x + 3
When x = 0, substitute it into the function:
y = 2(0) + 3
y = 3
When x = 1, substitute it into the function:
y = 2(1) + 3
y = 2 + 3
y = 5
When x = 2, substitute it into the function:
y = 2(2) + 3
y = 4 + 3
y = 7
When x = 3, substitute it into the function:
y = 2(3) + 3
y = 6 + 3
y = 9
The correct set of values to complete the function is:
A. 3, 5, 7, 9
5. Given function: y = 5 - x^2
When x = 0, substitute it into the function:
y = 5 - (0)^2
y = 5
When x = 1, substitute it into the function:
y = 5 - (1)^2
y = 5 - 1
y = 4
When x = 2, substitute it into the function:
y = 5 - (2)^2
y = 5 - 4
y = 1
When x = 3, substitute it into the function:
y = 5 - (3)^2
y = 5 - 9
y = -4
The correct set of values to complete the function is:
C. 5, 4, 1, -4
I hope this helps! Let me know if you have any other questions.
1. To complete the function table for y = -9x, you need to substitute each value of x into the equation and solve for y.
For x = 0, y = -9(0) = 0.
For x = 1, y = -9(1) = -9.
For x = 2, y = -9(2) = -18.
For x = 3, y = -9(3) = -27.
So the correct set of values to complete the function table is answer choice A: 0, 9, 18, 27.
2. To complete the function table for y = x - 11, you need to substitute each value of x into the equation and solve for y.
For x = 0, y = 0 - 11 = -11.
For x = 1, y = 1 - 11 = -10.
For x = 2, y = 2 - 11 = -9.
For x = 3, y = 3 - 11 = -8.
So the correct set of values to complete the function table is answer choice A: -11, -10, -9, -8.
3. To complete the function table for y = x ÷ 3, you need to calculate the quotient of each value of x divided by 3.
For x = 0, y = 0 ÷ 3 = 0.
For x = 1, y = 1 ÷ 3 = 1/3.
For x = 2, y = 2 ÷ 3 = 2/3.
For x = 3, y = 3 ÷ 3 = 1.
So the correct set of values to complete the function table is answer choice A: 0, 1/3, 2/3, 1.
4. To complete the function table for y = 2x + 3, you need to substitute each value of x into the equation and solve for y.
For x = 0, y = 2(0) + 3 = 3.
For x = 1, y = 2(1) + 3 = 5.
For x = 2, y = 2(2) + 3 = 7.
For x = 3, y = 2(3) + 3 = 9.
So the correct set of values to complete the function table is answer choice A: 3, 5, 7, 9.
5. To complete the function table for y = 5 - x^2, you need to substitute each value of x into the equation and solve for y. Remember, x^2 means x multiplied by itself.
For x = 0, y = 5 - 0^2 = 5 - 0 = 5.
For x = 1, y = 5 - 1^2 = 5 - 1 = 4.
For x = 2, y = 5 - 2^2 = 5 - 4 = 1.
For x = 3, y = 5 - 3^2 = 5 - 9 = -4.
So the correct set of values to complete the function table is answer choice B: 5, 4, 1, -1.
Remember, when completing function tables, you substitute each value of x into the equation and solve for y to find the corresponding values.