Multiply the polynomials:
6(x + 2)
6x + 12
Find the slope of the line going through the points:
(0,1) and (1,2)
slope: 1
Solve the linear equation:
2x = 6
x = 3
Find the zero(s) of the function:
y = x + 4
x = -4
What function is represented by the data table:
x | 0 | 1 | 2 | 3 | 4 |
----------------------------------------------------
y | 1 | 3 | 5 | 7 | 9 |
linear
Multiply the polynomials:
(4x – 4)3x
12x2 – 12x
Find the slope of the line going through the points:
(1,6) and (6,1)
slope: –1
Solve the linear equation:
1 – x = 5
x = –4
Find the zero(s) of the function:
y = x(x - 2)
x = 0 ; x = 2
What function is represented by the data table:
x | 0 | 1 | 2 | 3 | 4 |
---------------------------------------
y | 1 | 2 | 4 | 8 | 16 |
exponential
Multiply the polynomials:
(5+x2)(x + 1)
x3 + x2 + 5x + 5
Find the slope of the line going through the points:
(–2,1) and (0,2)
slope: 1/2
Solve the linear equation:
2x – 1 = 2 – x
x = 1
Find the zero(s) of the function:
y = (x - 7)(x + 7)
x = -7 ; x = 7
What function is represented by the data table:
x | 0 | 1 | 2 | 3 | 4 |
---------------------------------------
y | 1 | 3 | 6 | 10 | 15 |
quadratic
Multiply the polynomials:
(6x)(x2 – 3x + 2)
6x3 – 18x2 + 12x
Find the slope of the line going through the points:
(1,1) and (–1,–2)
slope: 3/2
Solve the linear equation:
2(x + 7) = 12
x = –1
Find the zero(s) of the function:
y = x2 + 4x + 3
x = -3 ; x = -1
What function is represented by the data table:
x | 4 | 3 | 2 | 1 | 0 |
----------------------------------------------------
y | 4 | 2 | 1 | 0.5 | 0.25 |
exponential
Multiply the polynomials:
(x+2)(x2 – x – 1)
x3 + x2 – 3x – 2
Find the slope of the line going through the points:
(23,1) and (300,1)
slope: 0
Solve the linear equation:
3 – 3x = 3 + 3x
x = 0
Find the zero(s) of the function:
y = 4x2 + 2x
x = 0 ; x = -1/2
What function is represented by the data table:
x | 0 | 1 | 2 | 3 | 4 |
---------------------------------------
y | 9 | 4 | 1 | 0 | 1 |
quadratic