Functions
More of f(x)
Transformation of f(x)
f(x), distance, midpoint, circles, inverses
TSwift
100
Find the domain and range: {(0, 9.1), (10, 6.7), (20, 10.7), (30, 13.2), (40, 21.2)}.
What is
Domain: {0, 10, 20, 30, 40}
Range: {9.1, 6.7, 10.7, 13.2, 21.2}
100
What are x-intercepts and y-intercepts of a graph?
What is x-intercepts are x-coordinates of a point where the graph intersects the x-axis and corresponding y-coordinate is always zero. What is y-intercepts are y-coordinates of a point where the graph intersects the y-axis and corresponding x-coordinate is always zero.
100
List three points that lie on the graph of the given function.
g(x) = x2 + 2
What is (0, 2), (1, 3), (-1, 3)
100
Find the domain of each function.
g(x) = square root of (x - 2) / (x - 5)
What is [2, 5) U (5, infinity)
100
What is Taylor Swift's middle name?
Alison
200
What is a vertical line test? What does it do?
What is if any vertical line intersects a graph in more than one point, the graph does not define y as a function of x. If a function passes the vertical line test, it is a function.
200
The following coordinates are from a graph of a function. Determine if it's a function or not.
{(1, 3), (2, 4), (10, 4), (1, 9)}
What is it is not a function
200
List three points that lie on the graph of the given function.
g(x) = square root of (3 - x)
What is (3, 0), (2, 1), (-1, 2)
200
Find an equation for f-1(x), the inverse function.
f(x) = square root of x + 1
What is f-1(x) = (x - 1)2 , x > and equal to 1
200
Where was Taylor Swift born?
West Reading, Pennsylvania
300
Determine whether the equation defines y as a function of x: 2x + y2 = 6
What is since more than one value of y can be obtained from some values of x, y is not a function of x
300
Determine whether the graph of each equation is symmetric with respect to the y-axis, x-axis, the origin, more than one of these, or none of these.
x2 + y2 = 17
What is the function is symmetric with respect to the y-axis, x-axis, and the origin
300
List three points that lie on the graph of the given function.
r(x) = 1/2 |x +2|
What is (-4, 1), (-2, 0), (2, 2)
300
Find the distance between the pair of points.
(-4, 3) and (-2, 5)
What is 2 * square root of 2
300
When is Taylor Swift's birthday?
December 13th, 1989
400
Determine whether the function is even, odd, or neither.
F(x) = x4-2x2+1
What is function is even
400
Write an equation in general form for the line passing through (-12, -1) and perpendicular to the line whose equation is 6x - y - 4 = 0
What is x + 6y + 18 = 0
400
List three points that lie on the graph of the given function.
g(x) = 1/2 (x - 1)2 + 1
What is (1, 1), (3, 3), (-1, 3)
400
Write the standard form of the equation of the circle with the given center and radius.
Center (-2, 4), r = 6
What is (x + 2)2 + (y - 4)2 = 36
400
Name four Taylor Swift albums
Taylor Swift, Fearless, Speak Now, Red, 1989, Reputation, Lover, Folklore, Evermore, Midnights
500
Identify the relative maxima and minima for the graph of f.
What is
f has a relative maximum at x = −1.
f has a relative minimum at x = 1.
500
Find (f o g)(x) and the domain of (f o g).
f(x) = x / (x+1), g(x) = 4/x
What is (f o g)(x) = 4/(4+x) and domain: (negative infinity, -4) U (-4, 0) U (0, infinity)
500
List three points that lie on the graph of the given function.
r(x) = -2 * cube root of (-x)
What is (0, 0), (1, 2), and (-1, -2)
500
Give the center and radius of the circle:
x2 + y2 - 4x + 2y - 4 = 0
What is center (2, -1) and radius of 3
500
Which Taylor Swift album is completely self written? (No other co-writers)
Speak Now