Answer:
3. (-∞, ∞), [0, ∞); The graph is a function
4. -5
Step-by-step explanation:
Question 3
A. Domain
The domain is the set of all possible x-values that will make the function work.
x can take any value from -∞ to ∞
The domain is (-∞, ∞).
B. Range
The range is the spread of the y-values.
We see from the graph that y can have any positive value.
The range is [0, ∞).
C. Test for function
We can use the vertical line test to determine if the graph is that of a function. A function can only have one value of y for each value of x.
We see that a vertical line from any point on the x-axis will intersect only one point on the graph.
The graph is a function.
Question 4
ƒ(x) = -2x+ 1
[tex]\begin{array}{rcl}f(3) & = & -2(3) + 1\\& = & -6 + 1\\& = & \mathbf{-5}\\\end{array}[/tex]
