x-intercept = 1/2
y- intercept = 4
Step-by-step explanation:
For finding the intercepts of a function we put x and y equal to zero respectively
Given function is:
[tex]f(x) = -8x+4[/tex]
Replacing f(x) with y
[tex]y = -8x+4[/tex]
putting y = 0
[tex]0 = -8x+4\\8x = 4[/tex]
Dividing both sides by 8
[tex]\frac{8x}{8} = \frac{4}{8}\\x = \frac{1}{2}[/tex]
Putting x = 0
[tex]y = -8(0)+4\\y = 0+4\\y = 4[/tex]
Hence,
x-intercept = 1/2
y- intercept = 4
Keywords: Intercepts, functions
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