Linear Functions and Systems
An appropriate domain for f(x)=2x+3
What is (-infinity, +infinity) or all reals?
The y-intercept of the function f(x)=3x2+x+5
What is 5 or y=5?
The degree, leading coefficient, and number of terms in f(x)=3x2+2x3+x+1
What is D=3 LC=2 T=4
A part of a function which constantly approaches a value but never reaches it, they can be vertical or horizontal in our context
What is an asymptote
The real fourth root(s) of 256
What is x=4
The x-intercepts of f(x)=-|x+5|+3
What is x=2 and x=8?
The function g(x)=(x+2)2+4 is a transformation of the parent function f(x)=x2...
What is up 4 left 2 units?
The sum of 6x3+4x+x2-7 and 2x3-8x2+3
What is 8x3-7x2+4x-4
In inverse variation, one variable increases while the other decreases at a proportional rate, multiplying any x and y will give you this value often labeled k
The radical form of the rational exponent expression 3(1/3)
What is cubed root or 3rd root of 3
The average rate of change from [-2,2] of the function f(x)=x2
What is 0 or no change?
The zeros of the quadratic 0=x2-5x-14 found through simple factoring
What is x=-2 and x=7?
The difference of 6x3+4x+x2-7 and 2x3-8x2+3
What is 4x3+9x2+4x-10
The excluded values in the domain of the rational expression (x+2)/(x-3)(x-1)
What is x=3 and x=1
The composition of f(g(x)) if f(x)=2x+x2 and g(x)=x-3
What is x2-4x+3
The solutions to x in |x-4|=.5x+1 by hand or by graphing
What is x=2 and x=10?
The zeros of the quadratic 0=3x2-20x-7 found using the quadratic formula
What is x=7 or x=-1/3?
The product of 2x+5 and 3x2+3
What is 6x3+15x2+6x+15
The product of (x-2)/(x+2) and (x+2)/(x-2) simplified
What is 1
The solution to (x+5)(1/4)-10=-9
what is x=-4
This description details whether the function f(x)=x-5 on the interval (5,7) is positive/negative and increasing/decreasing
What is Positive, Increasing?
The equation of the parabola in vertex form y=a(x-h)2+k given the vertex is (1,3) and a point on the parabola is (2,5)
What is y=2(x-1)2+3
The behavior of the function f(x)=(x+4)2(x-2) at each zero, multiplicity tells me if each factor crosses or touches
What is, touches at x=-4 and crosses at x=2
What is -7/2
The inverse function of f(x)=[(x+2)/4]+5
what is f-1(x)=4x-22