Answer:
- domain: -∞ < x < ∞
- range: -∞ < y ≤ -1
- f(-5) = -2
- f(-1) = -4
Step-by-step explanation:
Function values and the extent of the graph can be determined by reading the graph.
<h3>Domain</h3>
The domain of the function is the set of values for which the function is defined. It is the horizontal extent of the graph. The graph shows the function is defined for all real numbers.
The domain is -∞ < x < ∞.
<h3>Range</h3>
The range of the function is the set of output values the function may have. It is the vertical extent of the graph. The graph shows the function can have any value no greater than -1.
The range is -∞ < y ≤ -1.
<h3>Function values</h3>
Function values can be read from the graph by locating the x-value on the x-axis, and following the vertical line to its intersection with the function graph. The y-value of that point is the function value.
f(-5) = -2
f(-1) = -4
Or, we can write the function definition based on the graph, and use that definition to find the values at specific points. The graph is of the absolute value function reflected over x and translated <-4, -1>.
f(x) = -|x+4| -1
f(-5) = -|-5 +4| -1 = -1 -1 = -2
f(-1) = -|-1 +4| -1 = -3 -1 = -4
Answer:
30
Step-by-step explanation:
Don’t open the link give you a virus
Answer:
She has 140 coins in total.
Step-by-step explanation:
Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.
Hope this helps you!
Answer:
See attached picture.
Step-by-step explanation:
Find critical points to graph the rational function.
When x = 0, then y = 5 / 2 = 2.5.
When y=0, then 0=-3x+5 and x= 5/3 =1.6667.
Plot the points (0,2.5) and (1.6667, 0). Then draw the "L" shape graphs of the rational function.
