2-6-24 Growth/Decay Notes

• increase
• decrease
• stay the same

• Domain

• All Real Numbers

• Range

• Horizontal Asymptote

• Y-intercept

• End Behavior

D. P4 - The domain, range, horizontal asymptote, and y-intercept values are all ​ (a)   . The end behaviors are ​ (b)   . The graphs are ​ (c)   across the ​ (d)   .​

• the same
• different
• inverted
• reversed
• reflections
• y-axis
• x-axis

E. P4 - The function ​ increases exponentially for ​ (a)   and ​ decreases exponentially for ​ (b)   .

• b > 1
• 0 < b < 1

A. P5 - The parent function ​ (a)   because it is in the form ​ (b)   .

B. P5 - The y-intercept of ​ (a)   is ​ (b)   times the y-intercept of ​ (c)   .

• 2
• g(x)
• f(x)
• 3

• 3
• 6
• 2

D. P5 - The graph of ​ (a)   is twice as steep as the graph of ​ (b)   since the coefficient 2 of ​ (c)   is twice the coefficient 1 of ​ (d)   ; The graph ​of g(x) is a vertical ​ (e)   of the graph of f(x) by a factor of 2.

• g(x)
• f(x)
• stretch
• compression

E. P5 - The asymptote of the graph of j(x) is ​ (a)   units ​ (b)   than that of the graph of g(x).

• 4
• higher
• 3
• 2
• lower

• Translation down

• 2

• input

• x

• Translation to the right

• decreasing function

• -1

• Vertical Stretch

• -4