On a piece of paper, graph f(x) =
1 answer:
Answer:
The correct option is D
Step-by-step explanation:
We have been given a piecewise function such that:
- When x is less than 1, the value of the function f(x) is equal to x. Which means the when x =0, f(x) = 0, when x= -1, f(x) = -1 , when x=-5, f(x) = -5, and so one, as far as x is less than one. It means that the graph of this part is a linear increases/decreases which show the relationship bet f(x) and y.
- When x is equals to or greater than 1, the value of f(x) becomes constants that is 1. Hence, at x=1 and after that, the graph neither increases or decreases, as it becomes a straight line at y=1.
Graph of the piecewise function is shown, it matches option D.
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Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3
Before inserting the values of the variables, I recommend writing the equation in its simplest form.
First, use the distributive property and distribute 4:-
8x+4y-2y+z
Simplifying,
8x+2y+z
Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.
First, write -2 in lieu of x:-
8(-2)+2y+z
-16+2y+z
Now, write 4 in lieu of y:-
-16+2(4)+z
-16+8+z
-8+z
Final step:-
write -3 in lieu of z:-
-8+(-3)
-8-3
-11
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