Sequences
Is the sequence "2,5,8,11..." arithmetic or geometric?
Arithmetic
What is the equation of the linear function represented in the table:
X | -1 0 1 2 3
Y | 3 7 11 15 19
y=4x+7
What can an exponential graph never touch?
The x-axis (0)
Given f(x)=2x+6 and g(x)=2(6)x , which has the largest y-intercept?
f(x)=2x+6
What is the equation of a linear function?
y=mx+b
Is the sequence "3, 6, 12, 24..." arithmetic or geometric?
Geometric
You have $20 in your bank account and get $5 allowance each week. Write an equation that represents this situation.
y=5x+20
What is the equation of the exponential function represented by the table:
X| -1 0 1 2 3
Y| 2 6 18 54 162
f(x)=6(3)x
Is the following situation linear or exponential?
A candle is 10 cm tall and its height cuts in half every hour it burns.
Exponential
What is the equation of an exponential function?
y=a(b)x
What is the common difference of the arithmetic sequence "0,-5, -10, -15..."?
-5
Rewrite the equation 2x+4y=8 in slope-intercept form.
y=-1/2x+2
What is true about the b-value of a decay function?
It is less than 1
If a linear and exponential function are graphed on the same coordinate plane, what is another name for their intersection point?
What is the equation of a line in standard form?
ax+by=c
What is the common ratio of the sequence "100,25,6.25..."?
1/4
Given the function f(x)=3x+1, write the equation of the new line if that function was shifted down 3 units.
f(x)=3x-2
You have $2 in your bank account. Each day that amount doubles. Write an equation that represents this scenario.
f(x)=2(2)x
Given the functions f(x)=3x-2 and g(x)=3(2)x, is the slope of f(x) or the growth factor of g(x) greater?
Slope of f(x)
What is the slope formula?
y-y/x-x
Is the sequence "-12, 6, -3, 3/2..." arithmetic, geometric, or neither?
Neither!
x= any number (straight up and down line)
Graph the function f(x)=9(1/3)x.
First group to hand me a correct and complete graph.
Given f(x)=3(1/2)x and the table below, which has the greatest decay factor?
X| -1 0 1 2
Y| 81 27 9 3
The equation
Given the points (2,2) and (4,3), find the slope.
1/2