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Worksheets

Understanding Functions

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Graph the function f(x) = x^2

a)

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

b)

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.

c)

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

d)

Graph the function f(x) = x^3

2.

Graph the function g(x) = |x|

a)

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

b)

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

c)

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

d)

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

3.

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

a)

(2, 0)

b)

(0, -4)

c)

(1, 0)

d)

(4, 0)

4.

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

a)

3

b)

6

c)

-6

d)

9

5.

Graph the function m(x) = 1/x

a)

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

b)

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

c)

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

d)

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

6.

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

a)

x = -3

b)

x < -3

c)

x >= -3

d)

x > -3

7.

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

a)

Range of p(x) = x^2 - 4 is (-∞, -4)

b)

Range of p(x) = x^2 - 4 is [0, +∞)

c)

Range of p(x) = x^2 - 4 is (-∞, 0]

d)

Range of p(x) = x^2 - 4 is [-4, +∞)

8.

Graph the function q(x) = 2^x

a)

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

b)

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

c)

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

d)

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

9.

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

a)

(2, 3)

b)

(4, 3)

c)

(2, 5)

d)

(0, 3)

10.

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

a)

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

b)

Show the graph of a quadratic function.

c)

Graph the function as a straight line.

d)

Plot the cosine function instead of the sine function.