The graph for the function f(x) = 5 - 5x² is shown in the figure below.
How to draw a graph for the function?
- Consider certain values of x to get x-coordinates
- Substitute those values in the function to get y-coordinates
- Coordinate those x and y values as (x, y)
- Plot those points in the graph
- Connect those points, it forms a curve or line or parabola
Calculation:
The given function is f(x) = 5 - 5x²
Consider x = {-1, 0, 1}
When x = -1
f(-1) = 5 - 5(-1)²
= 5 - 5
= 0
∴ (-1, 0)
When x = 0
f(0) = 5 - 5(0)²
= 5 -0
= 5
∴ (0, 5)
When x = 1
f(1) = 5 - 5(1)²
= 5 - 5
= 0
∴ (1, 0)
So, the coordinate points are (-1, 0), (0, 5), and (1, 0)
Plotting these points in the graph.
Connecting those points gives a curve shown in the figure below.
Learn more about the graph of a function here:
https://brainly.com/question/4025726
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