Question

f(x) = –25 + 5xA) Graph the function and find it’s intercepts. B) what does each intercept represent?

Answer 1

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.