9th Grade Chapter 1 - 2 Review Worksheet 1. Classify each function

Transcription

9th Grade Chapter 1 - 2 Review Worksheet 1. Classify each function
9th Grade Chapter 1 - 2 Review Worksheet
1. Classify each function as increasing, decreasing, or constant.
a.
b.
, where x is an integer
c.
d.
2. Classify each function as a linear function, a linear absolute value function, a quadratic function, or an
exponential function.
a.
b.
c.
d.
3. Determine whether each function has an absolute maximum or absolute minimum. If the graph has neither an
absolute maximum nor an absolute minimum, write none.
a.
b.
c.
d.
4. Choose the graph that best models each scenario.
Hector is training to participate in competitive trampoline. In his best jump, he can reach a maximum height
of about 9 meters and can spend about 2 seconds in the air performing tricks.
Graph A
Graph B
Graph C
Solve each function for the given input value. The function
represents the total amount of
money in dollars Carmen earns babysitting as a function of time in hours.
5.
__________
Identify the independent and dependent quantities in each problem situation. Then write a function to
represent the problem situation.
6. Mario is stuffing envelopes with invitations to the school’s Spring Carnival. He stuffs 5 envelopes each
minute.
Identify the input value, the output value, and the rate of change for each function.
7. Belinda is making greeting cards. She makes 4 cards per hour. The function
number of cards Belinda makes as a function of time.
represents the total
8. Match each function to its graph.
a.
b.
c.
d.
Determine whether the graph is discrete or continuous.
9. a.
b.
Identify the input value, the output value, the y-intercept, and the rate of change for each function.
10. A hot air balloon at 130 feet begins to ascend. It ascends at a rate of 160.5 feet per minute. The function
represents the height of the balloon as it ascends.
Substitute and solve for x to determine the exact value of each intersection point.
11.
when
Write each compound inequality in compact form.
12. All numbers greater than or equal to 0 and less than or equal to 6
13. All numbers less than or equal to 87 and greater than or equal to 83
Draw an oval on the graph to represent the solution to each question. Write the corresponding
inequality statement.
14. A hot air balloon at 4000 feet begins its descent. It descends at a rate of 200 feet per minute. The function
represents the height of the balloon as it descends. How many minutes have passed if the
balloon is below 3000 feet?
Write an inequality for each graph.
15.
16.
Write a compound inequality for each situation.
17. The flowers in the garden are 6 inches or taller or shorter than 3 inches.
18. People with a driver’s license are at least 16 years old and no older than 85 years old.
Solve each compound inequality. Then graph and describe the solution.
19.
20.
or
Determine the number of solutions for each equation. Then calculate the solution.
21.
22.
Solve each linear absolute value equation.
23.
24.

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