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Functions
Domain and Range
Absolute Value
Laws of Exponents
Types of Angles
100
For f(x) = (x – 4)^2, evaluate for when f(3)
What is f(3) = 1
100
Input = x=-2 Machine = f(x) = - |x-2| Output = f(x) = ?
What is f(x) = -4
100
Solve |-6 + 8|
What is 2
100
–(2)^4
What is -16
100
Draw and example of an acute angle. Label or mark your drawing accordingly, so that it is clear what it represents.
What is [teacher discretion; any angle less than 90 degrees]
200
If f(x) = (x)^2 –4x – 5, find when f(10)
What is f(10) = 55
200
Input = x = ? Machine = f(x) = x^3 Output = f(x) = 8
What is x = 2
200
Solve |10-85|
What is 75
200
Simplify using positive exponents (4^5)/(4^2)
What is 4^3
200
Draw a picture of a straight angle. Label or mark your drawing accordingly, so that it is clear what it represents.
What is a line labeled 180 degrees.
300
Draw and example of a(n)... Linear Function Exponential Function Inverse Variation
What is (show your teacher).
300
Explain why a straight line is a function.
What is [teacher's discretion].
300
Solve the following equation for x: -2 | x - 5 | = -14
What is [ x = –2 and 12 ]
300
(5a^4b^3) ⋅ (12a^4)
What is 60a^8b^3
400
Write the correct equation that fits the description below. This pattern has 2 tiles in Figure 0 and adds 5 tiles in each new figure.
What is y= 5x + 2
400
Have teacher show picture for question. What is the Domain and Range of the function?
What is Domain = [–4, 2) Range = [–3, 5)
500
Tamara is wondering if her function machine is working. She recorded her inputs and outputs. Input (x) -3 -2 -1 0 1 2 3 Output (y) 4 4 4 4 4 4 4 Do you think it is broken or is Tamara’s machine working just fine? Explain/justify your answer.
What is... Answers will vary. Function machine is working just fine if the machine is f(x) = 4. ]
500
Emma says that x = –4 is the solution to the equation 7 + 3(6 – x) = 43 – 3(x + 6), but Tess insists the solution is x = 5. Who is correct? Why? Justify completely.
What is [ If students solve the equation they will find that any number will work as a solution so they are both correct that the values for x work. The solution is, technically, all numbers. ]
500
Consider the following functions: y = |x| y = |x-1| y = |x-2| y = |x-3| If this pattern of functions continued, what would be the x- and y-intercepts for the 100th function? Justify your answer.
What is [ Figure 1 has (0, 0) as its only intercept; Figure 2 has (−1, 0), (1, 0), and (0, −1); with the pattern continuing, the x-intercepts of the 100th function will be (−99, 0) and (99, 0) and the y-intercept will be (0, 99). ]