It's the average rate of change of y=3x^2+4x-2 on the interval [-2,1].
A) 0
B) 1
C) 2
D) 3
What is... B) 1
100
When you plug a given point into the derivative of a function, you get this.
A) tangent line
B) normal line
C) slope
D) average rate of change
What is... C) slope
100
Use the limit process to find the derivative of y = x^2+9.
A) y'=x^2
B) y'=2x+9
C) y'=2
D) y'=2x
What is D) y'=2x
100
If the slope of a line were -3/4, this would be the slope of the line normal to it.
A) -4/3
B) 4/3
C) 3/4
D) -3/4
What is... B) 4/3
100
This is NOT a correct notation for a derivative.
A) y prime
B) f prime of x
C) dy/dx
D) dx/dy
What is...
D) dx/dy
200
It's the average rate of change of f(x)=1/(x+4) over the interval [-3,0].
A) 0
B) -1/2
C) -1/4
D) -1
What is... C) -1/4
200
It's another math term for perpendicular. It is usually a line drawn that is perpendicular to the tangent line at a given point.
A) super tangent
B) normal
C) slope
D) rate of change
What is...B) normal
200
Use the limit process to find the derivative of y=x^2-2x+3.
A) y'=2x-2
B) y'=2x^2
C) y'=2x
D) y'=x^2
What is A) y'=2x-2
200
It's the slope of the line tangent to the graph of y=x^2-2 at the point x=-8.
A) 2
B) -4
C) -8
D) -16
What is D) -16
200
This is the official name for zero divided by zero (also infinity divided by infinity).
A) the indeterminant form
B) the indeterminant function
C) the indescribable form
D) the indescribable function
What is... A) the indeterminant form
300
It's the average rate of change of y = sqrt(x+2) on the interval [-1,7].
A) 5/4
B) 1/4
C) 1/2
D) 1
What is... B) 1/4
300
This means "change in" in mathematics.
A) three dots that form a triangle
B) three bars, like a super equal sign
C) alpha, looks like a little fish
D) delta, a triangle symbol
What is... D) delta, a triangle symbol
300
Use the limit process to evaluate the derivative of f(x)=sqrt(x+2) when x=7.
A) 1/2
B) 1/3
C) 1/6
D) 1/9
What is C) 1/6
300
This is the equation of the line tangent to the graph of y=x^2+3 at the point x=-1.
A) y=-2x+2
B) y=2x+2
C) y=-(1/2)x+(7/2)
D) y=(1/2)x+(7/2)
What is... A) y=-2x+2
300
It's the word for the big mess you multiply by when you're doing the radical problems.
A) conglomerate
B) congeniality
C) condensation
D) conjugate
What is... D) conjugate
400
Graphman climbs a mountain. After an hour he is at an altitude of 300 feet. After 5 hours, he is at an altitude of 650 feet. Find the average rate of change of his altitude between hours 1 and 5.
A) 2.157 feet/hour
B) 0.011 feet/hour
C) 589 feet/hour
D) 87.5 feet/hour
What is D) 87.5 feet/hour
400
It's where the graph of your function and the tangent line should always touch.
A) at the x-intercept
B) at the y-intercept
C) at the given point
D) at infinity
What is... C) at the given point
400
Use the limit process to evaluate the derivative of g(x)=-3x^2 at the value x=-4.
A) 12
B) 24
C) -12
D) -24
What is B) 24
400
Write the equation of the line normal to the function f(x)=x^2+2x at the given value of x=1.
A) y=4x-1
B) y=(-1/4)x+(13/4)
C) y=4x+7
D) y=(1/4)x+(11/4)
What is... B) y=(-1/4)x+(13/4)
400
Superman has a displacement function of f(t)=t^2+3, where f(t) is how far Superman has gone in miles after t minutes. What is his average rate of change during the first 3 minutes?
A) 3 miles/minute
B) 3 minutes/mile
C) (1/3) miles/minute
D) (1/3) minutes/mile
What is... A) 3 miles/minute
500
It's the average rate of change of the function y = sin(x) over the interval [pi/6, pi/3].
A) 3(sqrt3 - 1)/pi..........
B) (-sqrt3 + 2)/pi...........
C) (sqrt3 + 1)..........
D) 3(sqrt 3 - pi)
What is... A) 3(sqrt3 - 1)/pi
500
It's a line that touches the function at a given point and has a slope that is equal to the instantaneous rate of change at a given point.
A) the normal line
B) the delta function
D) the steepness conjecture
D) the tangent line
What is... D) the tangent line
500
Use the limit process to evaluate the derivative of f(x)=2x^2-5x-8 at the value x=-2.
A) 9
B) -21
C) -13
D) 3
What is C) -13
500
This is the line tangent to the graph of g(x)=sqrt(2x+1) at the point where x=4.
A) y=(1/3)x+(5/3)
B) y=(1/3)x+1
C) y=(3/2)x+(5/3)
D) y=(3/2)x+1
What is... A) y=(1/3)x+(5/3)
500
The population of people ages 18 and over in Carleton, Michigan is given in the table. What is the average rate of change in this population from 2009 to 2012? (I didn't even make these up).
A) 152.9 people/year
B) 0.18 people/year
C) 0.91 people/year
D) 5.67 people/year