Power Functions Graph Quiz

Graph the function f(x) = x^2

• Graph the function f(x) = x^2 by plotting the points (1, 1), (2, 4), and (3, 9) and connecting them with straight lines.

• Plot the function f(x) = x^2 by connecting random points on the graph.

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

• Draw a linear graph for the function f(x) = x^2.

Graph the function g(x) = x^3

• Graph the function g(x) = x^3 by plotting points (-2, -8), (-1, -1), (0, 0), (1, 1), and (2, 8) and connecting them to form a curve.

• Connecting points (-2, -8), (-1, -1), (0, 0), (1, 1), and (2, 8) with straight lines

• Plotting points (0, 1), (1, 1), (2, 8), (3, 27), and (4, 64)

• Graph the function g(x) = x^2

What is the general shape of a power function with an even exponent?

• Symmetric curve about the y-axis

• Circular pattern

• Linear shape

• Asymmetrical curve about the x-axis

What is the general shape of a power function with an odd exponent?

• Square

• Curve

• Circle

• Straight line

Graph the function h(x) = x^4

• Graph of h(x) = x^4 is a parabola opening downwards

• Graph of h(x) = x^4 is a straight line passing through the origin

• Graph of h(x) = x^4 is a sinusoidal curve

• Graph of h(x) = x^4 is a curve that starts in the third quadrant, passes through the origin, and then rises steeply in the first quadrant.

Graph the function k(x) = x^(-1)

• The graph of the function k(x) = x^(-1) is a straight line passing through the origin.

• The graph of the function k(x) = x^(-1) consists of two branches approaching the x-axis but never touching it.

• The graph of the function k(x) = x^(-1) is a circle.

• The graph of the function k(x) = x^(-1) is a parabola opening upwards.

How does the exponent affect the steepness of the graph of a power function?

• The exponent of a power function affects the steepness by making the graph steeper as it increases.

• The exponent causes the graph to become horizontal

• The exponent makes the graph flatter as it increases

• The exponent has no effect on the steepness of the graph

Graph the function m(x) = x^(1/2)

• Use a bar graph to represent the function m(x) = x^(1/2)

• Plot the function m(x) = x^(1/2) as a straight line

• Graph the function m(x) = x^(1/2) by connecting random points

• Graph the function m(x) = x^(1/2) by plotting points (0,0), (1,1), and (4,2) and connecting them with a smooth curve.

What happens to the graph of a power function as the exponent approaches infinity?

• The graph approaches the y-axis (x=0) for positive exponents and the x-axis (y=0) for negative exponents.

• The graph becomes a straight line.

• The graph becomes a circle.

• The graph approaches the x-axis (y=0) for positive exponents and the y-axis (x=0) for negative exponents.

Graph the function n(x) = x^5

• Graph of the function n(x) = x^5 is a straight line

• Graph of the function n(x) = x^5 is a curve that starts in the third quadrant, passes through the origin, and extends into the first quadrant.

• Graph of the function n(x) = x^5 is a parabola

• Graph of the function n(x) = x^5 is a circle