Answered

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12
y-intercept & x-intercept
f(x)=x²√25-x²

Sagot :

Answer:

Step-by-step explanation:

To find the x-intercept and y-intercept of the function f(x) = x²√25 - x², we need to set the function equal to 0 and solve for x, and then set x equal to 0 and solve for f(x) respectively.

x-intercept:

f(x) = 0

x²√25 - x² = 0

x²(√25 - 1) = 0

x² = 0 (since √25 - 1 ≠ 0)

x = 0

So, the x-intercept is at point (0, 0).

y-intercept:

x = 0

f(0) = 0²√25 - 0²

f(0) = 0

y = 0

So, the y-intercept is also at point (0, 0).

The graph of the function passes through the origin, and the x and y intercepts are both at point (0, 0).

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