Functions and Transformations Assessment

This video tutorial reviews key concepts from Algebra 1B Unit 5, including graphing absolute value functions, analyzing piecewise functions through real-world problems like Jill's driving scenario and Bob's sugar usage, and understanding square root, floor, and ceiling functions. The tutorial also covers graphing techniques for piecewise and root functions and evaluates various functions, providing a comprehensive review for the exam.

What is provided to students during the Algebra 1B Unit 5 exam?

• A textbook

• A study guide

• A formula sheet

• A calculator

What shape does the graph of the absolute value function typically resemble?

• A circle

• A V-shape

• A parabola

• A straight line

In Jill's Sunday drive problem, what is the total distance she travels?

• 150 miles

• 300 miles

• 250 miles

• 200 miles

What is the domain of Jill's driving time in the problem?

• 0 to 9 hours

• 0 to 5 hours

• 0 to 3 hours

• 3 to 9 hours

How much sugar does Bob use in total during his candy-making process?

• 300 lbs

• 600 lbs

• 400 lbs

• 500 lbs

What is the slope of the line representing Bob's sugar usage from noon to 3 PM?

• 50 lbs/hour

• 100 lbs/hour

• 200 lbs/hour

• 150 lbs/hour

What is the domain of the square root function discussed?

• All positive numbers

• All integers

• All real numbers greater than or equal to zero

• All real numbers

Which statement is true about the floor and ceiling functions?

• Floor function is always less than ceiling function

• Floor function is always greater than ceiling function

• Ceiling function is always greater than floor function

• Floor and ceiling functions are equal for integers

What is the transformation applied to the square root function in the graphing section?

• Shifted one unit up

• Shifted one unit down

• Shifted one unit left

• Shifted one unit right

What is the result of the floor function applied to 1.6?

• 1.6

• 1

• 2

• 0