The graph given by option (C) represents the graph of function y = (x - 1)(x + 4)
What is function ?
- "It defines a relation between input and output values."
- "In function, for each input there is exactly one output."
What is x-intercept?
"It is a point at which the graph of a function intersects the X-axis."
What is y-intercept?
"It is a point at which the graph of a function intersects the Y-axis."
What is graph of a function?
"It is a set of all points that satisfy the given function."
For given question,
We have been given a function y = (x - 1)(x + 4)
For y = 0,
⇒ (x - 1)(x + 4)=0
⇒ x - 1 = 0 or x + 4 = 0
⇒ x = 1 or x = -4
This means given function has x-intercept at x = 1 and x = -4
For x = 0,
y = (0 - 1)(0 + 4)
y = (-1)(4)
y = -4
This means, the given function has y-intercept at y=-3.
Therefore, the graph given by option (C) represents the graph of function y = (x - 1)(x + 4)
Learn more about the graph of a function here:
https://brainly.com/question/15165011
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