What does f(| x |) do to a graph?
Ignore the left hand side part of the graph. To graph the function d(x)=∣x∣−4, plot key points such as (0, -4) and (2, -2) and draw a v-shaped graph. The vertex of this graph will be at (0, -4), showing a downward shift from the standard absolute value function. As x moves away from zero, the value of d(x) increases.Generally, we can represent the absolute value function as, f(x) = a |x – h| + k, where a represents how far the graph stretches vertically, h represents the horizontal shift and k represents the vertical shift from the graph of f(x) = |x|.In this case, the vertex for y=|x|+4 y = | x | + 4 is (0,4) . To find the x x coordinate of the vertex, set the inside of the absolute value x x equal to 0 0 . In this case, x=0 x = 0 . Replace the variable x x with 0 0 in the expression.If the point (x, y), where x and y both – ve or x is – ve and y is + ve, we can not be a negative distance away from an axis, so we take the absolute value of x. Hence, the distance of the point (x, y) from y-axis is |x|.
What does f(x)= int(2x) mean?
If by f(x) = int(2x) you mean the greatest integer that is less than or equal to 2x, then: f(1. The greatest integer function is a piece-wise defined function. If the number is an integer, use that integer. If the number is not an integer, use the next smaller integer.