f(x) = –25 + 5xA) Graph the function and find it’s intercepts. B) what does each intercept represent?
1 answer:
A) The x intercept = 5
the y intercept = -25
B) The x intercept is the point at which the y coordinate is equal to zero
The y intercept is the point at which the x coordinate is equal to zero
See graph below
Explanation:
f(x) = –25 + 5x
let y = f(x)
y = –25 + 5x
To graph the function, we need to assign valus for x in order to get corresponding values for y:
using values x = 0, 2, 4, 6, 8
when x = 0
y = -25 +5(0) = -25 + 0 = -25
when x = 2
y = -25 + 5(2) = -25 + 10 = -15
when x = 4
y = -25 + 5(4) = -25 + 20 = -5
when x = 6
y = -25 + 5(6) = -25 + 30 = 5
when x = 8
y = -25 + 5(8) = -25 + 40 = 15
Plotting the graph:
the intercepts are the x and y intercept
From the diagram, the x intercept is where the line touches the x axis.
On our graph, the line touches the x axis at 5
The x intercept = 5
The y intercept is where the line touches the y axis.
the y intercept = -25
B) The x intercept is the point at which the y coordinate is equal to zero
the x intercept is where the line touches the x axis.
The y intercept is the point at which the x coordinate is equal to zero
The y intercept is where the line touches the y axis.
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