Unit Two Review
The distance after 2 minutes is 100 ft.
A hot-air balloon's height varies directly as the balloon's ascent time in minutes. The balloon went up 200 feet after 4 minutes. Find the distance after 2 minutes.
The transformation is a vertical compression.
Describe the transformation 1/2f(x).
The transformation is a horizontal stretch.
Describe the transformation f(3/4x).
Yes, the following set of points represent a function because the x-values don't repeat.
Does the following set of points represent a function? Explain why or why not. {(3.5, 3.1), (4.3, 4.9), (2,5), (1,5)
No, the mapping diagram doesn't represent a function. The domain is 1, 2 and 4. The range is -5, 0, 2, and 5.
Does this mapping diagram represent a function? What is the domain and range of the function?
The domain is negative infinity is less than or equal to x which is less than or equal to positive infinity. The range is ALL REAL NUMBERS.
Find the domain and range of the graph above.
f(-2)=20
Given f(x)= 5(2-x). What is the value of f(-2)?
g(-4)= -12
Given g(x)= 2(x-2). What is the value of g(-4)?
f(12)=50.
Given the table of values from a function, what is 𝑓(12)?
This transformation reflects over the x-axis.
The graph of 𝑓(𝑥)=𝑥 was transformed to create the graph of -f(x). Describe this transformation?
The transformation is a vertical stretch.
The graph of 𝑓(𝑥)=𝑥 was transformed to create the graph of 2f(𝑥). Describe this transformation?
This transformation reflects over the y-axis.
The graph of 𝑓(𝑥)=𝑥 was transformed to create the graph of f(-x). Describe this transformation?
The transformation is a horizontal compression.
The graph of 𝑓(𝑥)=𝑥 was transformed to create the graph of f(8𝑥). Describe this transformation?
The constant of proportionality is 3.
The value of y varies directly with x. Find the constant of proportionality for the relationships between x and y if 𝑦=18 when 𝑥=6.
The value of x is 15.
The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?
Y-Intercept= -2 X-Intercept= 6/5 or 1.2 Zero= 6/5 or 1.2 Slope= 5/3
Use the graph above to find the y-intercept, x-intercept, zero and slope.
Y-Intercept= -1 X-Intercept= 1/2 Zero= 1/2 Slope= 2
Use the table above to find the y-intercept, x-intercept, zero and slope.
Y-Intercept= 6 X-Intercept= 30 Zero= 30 Slope= -1/5
Use the table above to find the y-intercept, x-intercept, zero and slope.
Yes, the graph above represents a function because the vertical line hits each part of the line only once which means the input (x) must not repeat.
Using the Vertical Line Test figure out if the graph above represents a function or not? Explain why or why not.
The range is -5, 3, 7, 8.
What is the range of the following set of points? {(2, 3), (4, 7), (4,8), (4, -5)
Shift up 4 units.
What transformation is f(x)+4?
Shift down 2 units.
What transformation is f(x)-2?
Shift left 8 units.
What transformation is f(x+8)?
Shift left 5 units.
What transformation is f(x-5)?