Absolute valute with linear function
1. Which of the following statements is true about the graph of the function y = |−8x + 20|?
* A. It opens downwards
* B. It has the same x-intercept as y = −8x + 20
* C. It is a reflection over the y-axis
* D. It has a y-intercept at (0,−20)
2. If y = f(x) is a linear function with slope −7 and y-intercept at (0,7), then y = f(|x|) will open ? And have a y-intercept at?
* A. upwards; (0, 0)
* B. upwards; (0, 7)
* C. downwards; (0, 0)
* D. downwards; (0, 7)
3. If y = f(x) is a linear function, then the vertex of the graph of y = |f(x)| is at the? and the vertex of the graph of y = f(|x|) is at the?
* A. origin; y-intercept
* B. x-intercept; y-intercept
* C. y-intercept; x-intercept
* D. x-intercept; origin
4. If the point (3, −2) is on the graph of y = f(|x|), what will be the y-coordinate of this function at x = −3?
* A. −3
* B. −2
* C. 2
* D. 3
5. What is the piecewise system of equations that is equivalent to y = 10|x| − 20?
* A. y = 10x − 20 for x ≥ 2 and y = −10x + 20 for x ≤ 2
* B. y = 10x − 20 for x ≥ 0 and y = −10x + 20 for x ≤ 0
* C. y = 10x − 20 for x ≥ 2 and y = −10x − 20 for x ≤ 2
* D. y = 10x − 20 for x ≥ 0 and y = −10x − 20 for x ≤ 0