Consider the following function fx 165x 4 Find the x and y

Consider the following function. f(x) = 1/6|5x - 4| Find the x- and y-intercepts of the graph. If any exist. (If an answer does not exist, enter DNE.)

Solution

given f(x) = 1/6 | 5x -4 |

for x intercept : plug f(x) =0

so 0 = 1/6 |5x -4|

so |5x-4|=0

5x =4

x =4/5

so x intercept (4/5 ,0)

for y intercept : plug x=0

f(0) = 1/6 |5x0 -4|

f(0) = 1/6 | 0 -4|

f(0) = 4/6

f(0) =2/3

so y intercept is 2/3

y intercept is (0, 2/3)