the x and y intercept of f(x) = −√x + 1 + 2 both graphically and algebraically.

Question

f(x) = −√x + 1 + 2

Answer 1

The y-intercept of a function is the point where the graph of the function intersects the y-axis, which occurs when the value of x is equal to 0. To find the y-intercept of the function f(x) = -√x + 1 + 2, we can substitute x = 0 into the function:

y = f(0) = -√0 + 1 + 2 y = 3

So the y-intercept of the function f(x) = -√x + 1 + 2 is (0, 3).

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