Where Functions Meet
The end to this statement:
The intersection points of f(x) and g(x) are the numbers x for which _____ = _____.
What is f(x) = g(x)?
The result to f(x) = 3x - x2
if x = 2.
What is 2?
The equation of the parent function of reciprocal/rational functions.
What is y = 1/x?
The line that the function y = f(x) is reflected across to get the inverse function f-1(x).
What is y = x?
The result to |x2+6x|
if x = -3.
What is 9?
The number of points of intersection for
f(x) = 3 and g(x) = 5x+3.
What is ONE?
The result to g(-x)
if g(x) = x2 - 3x.
What is x2 + 3x?
The transformation the h-value represents in the basic form of the quadratic function:
y = a(b(x+h))2+k
What is HORIZONTAL SHIFT?
The steps to finding the inverse of a function.
What is INTERCHANGE X AND Y IN THE EQUATION AND THEN ISOLATE Y?
True or False:
|a - b| = |b - a|
What is TRUE?
The x-coordinates at which
f(x) = x2+1 and g(x) = 3x2-1 intersect.
What are x = -1 and x = 1?
The result (in simplest form) to f(x+2)
if f(x) = x2 - 3x.
What is (x+2)2 - 3(x+2)
= x2 + 4x + 4 - 3x -6
= x2 + x - 2 ?
The function y = -0.5(2x+6)3 - 1
written in the basic form
y = a(b(x+h))3+k .
What is y = -0.5(2(x+3))3 - 1?
True or False:
The inverse function to f(x)= 2x + 5 is
f-1(x) = (x+5)/2.
What is the FALSE?
The number of solutions to |2x-1| = -4.
What is ZERO?
The x-coordinate at which
y = 3x+4 and y = 0.5x+2
intersect.
What is a x = -0.8?
If f(x) = 5 - 2x and g(x) = x2+2x,
the result to f(g(x)) in simplest form.
What is 5 - 2(x2+2x)
= 5 - 2x2 - 4x ?
The transformation applied to the function
y = -0.5(2x+6)3 - 1
by the value of -0.5?
What is A VERTICAL COMPRESSION BY A FACTOR OF ONE HALF?
The inverse function to f(x) = (3-2x)/4.
What is f-1(x) = (4x-3)/-2 ?
The solutions to |12-7x| = 5.
What are x = 17/7 and x = 8/7?
The point (ordered pair) at which
3x + y = 4 and y = 1 - x
intersect.
What is (3/2, 1/2)?
Evaluate f(x)= -(4x+2) if x = 7.
What is -30?
The names of all 8 basic parent functions.
What is CONSTANT, LINEAR, QUADRATIC, CUBIC, SQUARE ROOT, CUBIC ROOT, ABSOLUTE VALUE AND RECIPROCAL/RATIONAL FUNCTIONS?
The result to f(f-1(x)) if
f(x) = (2x+1)/3.
What is x?
The solution(s) to |(2x-1)/(x+3)| = 2.
What is x = -5/4?