Understanding Functions

Graph the function f(x) = x^2

• Connecting the points (0, 0), (1, 1), (2, 4), (3, 9), and (4, 16)

• Graph the function f(x) = x^2 by plotting the points (-2, 4), (-1, 1), (0, 0), (1, 1), and (2, 4) and connecting them to form a parabolic curve.

• Plotting the points (0, 1), (1, 2), (2, 3), (3, 4), and (4, 5)

• Graph the function f(x) = x^3

Graph the function g(x) = |x|

• The graph of the function g(x) = |x| is a parabola opening upwards.

• The graph of the function g(x) = |x| is a horizontal line.

• The graph of the function g(x) = |x| is a straight line passing through the origin.

• The graph of the function g(x) = |x| is a V-shaped graph with the vertex at the origin.

Identify the x-intercept of the function h(x) = 2x - 4

• (2, 0)

• (0, -4)

• (1, 0)

• (4, 0)

Identify the y-intercept of the function k(x) = -3x + 6

• 3

• 6

• -6

• 9

Graph the function m(x) = 1/x

• Graphing the function m(x) = 1/x results in a straight line passing through the origin.

• The function m(x) = 1/x has a graph that is a circle.

• Graphing the function m(x) = 1/x results in a hyperbola that approaches the x and y axes but never touches them.

• The graph of m(x) = 1/x is a parabola opening upwards.

Determine the domain of the function n(x) = √(x+3)

• x = -3

• x < -3

• x >= -3

• x > -3

Determine the range of the function p(x) = x^2 - 4

• Range of p(x) = x^2 - 4 is (-∞, -4)

• Range of p(x) = x^2 - 4 is [0, +∞)

• Range of p(x) = x^2 - 4 is (-∞, 0]

• Range of p(x) = x^2 - 4 is [-4, +∞)

Graph the function q(x) = 2^x

• Plot the function q(x) = 2^x as a straight line

• Connect random points to graph the function q(x) = 2^x

• Graph the function q(x) = 2^x by plotting points and connecting them to form a curve.

• Use a bar graph to represent the function q(x) = 2^x

Identify the vertex of the function r(x) = (x-2)^2 + 3

• (2, 3)

• (4, 3)

• (2, 5)

• (0, 3)

Graph the function s(x) = sin(x)

• Graph the sine function s(x) as a wave oscillating between -1 and 1.

• Show the graph of a quadratic function.

• Graph the function as a straight line.

• Plot the cosine function instead of the sine function.