From the graph of function,
a. Domain = (-∞, ∞)
b. Range = [-2, -∞)
c. x-intercept = NA
d. y-intercept = (0, -4)
e. f(1) = -3 and f(4) = -4
What is domain of a function?
"It is a set of points which for which the function is well defined."
What is the range of the function?
"It is the set of all possible output values."
What is intercept?
"It is a point at which the graph of the function intersects the x-axis or y-axis."
For given example,
From the graph of a function we can observe that, function takes all values of x
So, domain = (-∞, ∞)
The value of the function starts from -2 and it tends towards -∞.
So, Range of f(x) = [-2, -∞)
From the graph of a function we can observe that the graph of a function does not intersect the x-axis.
So, for given function has no x-intercept.
The graph of the function intersects y-axis at (0, -4).
So, y-intercept = (0,-4)
We need to find the value of f(1) and f(4)
From the graph,
for x = 1,
⇒ f(1) = -3
for x = 4,
⇒ f(4) = -4
Therefore, from the graph of function,
a. Domain = (-∞, ∞)
b. Range = [-2, -∞)
c. x-intercept = NA
d. y-intercept = (0, -4)
e. f(1) = -3 and f(4) = -4
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