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) = x^{2} + 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 + y^{2} = 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.

x^{2} + y^{2} = 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) = x^{4}-2x^{2}+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:

x^{2} + y^{2} - 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