Characteristics
Determine the end behaviour of the following:
y = -3 log x
QI-QIV
Write 7-4 with a positive exponent.
1/74
Increasing or decreasing:
y = 5 (0.75)x
Decreasing
Evaluate log3 81
4
Determine the y-intercept of
y = 3x
1
The type of function that always has QII-QI end behaviour?
Exponential
when x=3
500
State the end behaviour of the following:
y = 0.5 log x
QIV-QI
State the domain of the following:
y= 7 log x
{x|x>0,XER}
The value of a house grows by 5% per year. The house was purchased for $253,000. What is the equation that represents this function?
y = 253,000 (1.05)x
What's the missing value?
x 1 2 3 4 5 6 7
y 2 6 18 54 __ 486 1458
162
Determine the y-intercept of the following:
y = 6 log x
No y-intercept.
State the range of:
y = 3 (0.5)x
{y|y>0,YER}
Which of the following is/are exponential functions?
a) y=5x b) y=x0.5 c) y=x3 d) y=3(1/3)x
a, d
Determine the exponential Equation of the following
x 1 2 3 4 5
y 324 108 36 12 4
y = 972 (1/3)x
End behaviour of:
positive log:
negative log:
positive: QIV-QI
negative: QI-QIV
Determine the y intercept of the following:
x 1 2 3 4 5
y 2 8 32 128 512
1/2
Determine the following for y = -3log x
End behaviour
#x-intercepts
y-intercept
Domain
Range
QI-QIV
1
N/A
{x|x>0,XER}
{y|yER}
A car depreciates at 7% per year. If you bought the car for $37,500, what is the value of the car after 9 years? To the nearest dollar.
$19,515
Evaluate:
log3 387,420,489
18