Variation
If y varies directly as the square of x and y=12 when x=2, write y as a power function of x.
y=3x2
If the graph of a power function is in Quadrants 1 and 3, what does that tell us about the exponent?
The exponent is odd/odd
Describe the transformation from f to g.
f(x)=x1/5
g(x)=(x)1/5 - 4
down 4
What state has the longest freshwater shoreline?
Michigan
If y varies inversely as the square root of x and y=1 when x=9, write y as a power function of x.
y= 3/ sqrt(x)
If the graph of a power function is in concave up in quadrant 1, what does that tell us about the exponent?
The exponent is greater than 1.
OR The power is greater than the root.
OR The numerator is greater than the denominator.
Describe the transformation from f to g.
f(x)=x1/5
g(x)=(x-3)1/5
right 3
Who was the first "American Idol" winner?
Kelly Clarkson
If the exponent in a power function is negative, describe the continuity at x=0.
(Continuous, removable, jump, infinite)
Infinite discontinuity
because there is an asymptote
Describe the transformations from f to g.
f(x)=x1/5
g(x)=(x+2)1/5 - 1
left 2, down 1
How many legs does a lobster have?
10
Write one possible exponent for a function that is in quadrants 1 and 2, increasing in quadrant 1 and concave down in quadrant 1.
anything that is positive, even/odd, less than 1.
2/3 , 4/5 , 8/15 , ....
f(x) = x3/2
Write an equation that would move the function up 4 and right 5.
(x-5)3/2 + 4
What is Florida’s state bird?
The Northern Mockingbird
If y varies directly as the square root of x cubed and y=3 when x=2, write y as a power function of x.
y = 3sqrt(8)/ sqrt(x3)
If the exponent in a power function is negative, what is the limit as x approaches 0.
Undefined.
From the right, positive infinity.
From the left, negative infinity.
f(x) = x3/2
Write an equation that would move the function up 1, left 3 and reflect over the x axis.
-(x+3)3/2 + 1
Who was the first president to visit all 50 states?
Richard Nixon