Topics
4. Modeling with Functions
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United States of America
Grades 9-12

4.01 Key features of functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the curve on the graph below.

Loading Graph...
A parabola on a number plane that opens upward with a vertex at $\left(-4,-2\right)$(−4,−2). The coordinates of the vertex are not explicitly given.
a

State the domain of the function using interval notation.

b

State the range of the function using interval notation.

Medium
1min

Consider the function $f$f graphed below.

Use the graph to determine whether each of the given statements is true or false.

Medium
1min

The function $f\left(x\right)=\sqrt{36-x^2}$f(x)=√36−x2 has been graphed.

State the domain of the function.

Medium
< 1min

The number of bees in a colony is initially measured and left to form a hive. The number of bees in the hive is measured each day over the course of one week. The function $H\left(x\right)=30\left(3\right)^x$H(x)=30(3)x is found to model the number of bees, $H$H, after $x$x days.

Medium
1min
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Outcomes

F.IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F.IF.B.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

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