Function Notation
Tables
Graphs
Equations
True or False?
100
f(x) = 2x - 10
find f(6)
f(6) = 2
100
Does the table display exponential growth, exponential decay, or a linear model?
Linear; The y-values decrease (subtract) by 1 each time!
100
Does the graph represent exponential growth, exponential decay, or a linear model?
Exponential growth
100
Does the equation y = 1.87x represent exponential growth or exponential decay?
Exponential growth because the base is "1.87" and that is bigger than 1!
100
In an exponential equation, if the growth factor "g" is bigger than 1, then the graph will display exponential decay.
False! If the base "b" is greater than 1, then it will be exponential growth!
200
f(x) = -6x - 9
find f(3)
-27
200
Does the table display exponential growth, exponential decay, or a linear model?
Exponential Growth; the y-values double (multiply by 2) each time!
200
Does the graph represent exponential growth or exponential decay?
Exponential decay
200
Does the equation y = 0.85x represent exponential growth or exponential decay?
Exponential decay because the base is 0.85 which is smaller than 1!
200
In an exponential equation, if the growth factor "g" is between 0 and 1, then the graph will display exponential decay.
True! If "b" is between 0 and 1, the graph will be an exponential decay graph!
300
h(x) = -9x - x
find h(1)
h(1) = -10
300
Does the table display exponential growth, exponential decay, or a linear model?
Exponential Decay; the y-values are dividing by 4 each time!
300
Does the graph represent exponential growth, exponential decay, or a linear model?
Linear Model
300
Does the equation y = 5(1.001)x represent exponential growth or exponential decay?
Exponential growth because the base is "1.001" and that is bigger than 1!
300
For the exponential equation f(x) = 12(1.35)^x the percent of increase is 35%
True; The growth factor is 1.35 which is 35% more than 1.
400
f(x) = 4(1.65)^x
find f(4) to the nearest tenth
29.6
400
Does the table display exponential growth, exponential decay, or a linear model?
Exponential Growth; the y-values are multiplying by 6 each time!
400
Does the graph represent exponential growth or exponential decay?
Exponential decay
400
Does the equation y = 2(0.13)x represent exponential growth or exponential decay?
Exponential decay because the base is "0.13" and that is smaller than 1!
400
For the exponential equation f(x) = 12(0.75)^x the percent of increase is 75%
False; the percent of decrease is 25% because 0.75 is 25% less than 1.