# Math (Semicircle)(Pre-calc)

goo.gl/photos/e6Ks3v4Qqj177Nun6

The graph below is made from two semicircles. The domain of the function in the graph is [−8,8]
[-8,8]
. Find a piecewise formula for the function f(x)
f(x).

Help please, I already on my last attempt and any help is greatly appreciated!

1. 👍
2. 👎
3. 👁
1. a circle with center at (4,0) and radius 4 is

(x-4)^2 + y^2 = 16
or,
y = √(16-(x-4)^2)

The left semicircle has center at (-4,0) and radius 4, but lies below the x-axis, so

So, f(x) =
-√(16-(x+4)^2) for -4 <= x <= 0
√(16-(x-4)^2) for 0 <= x <= 4

1. 👍
2. 👎
2. Thanks Steve!

1. 👍
2. 👎

## Similar Questions

1. ### algebra

Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? domain;all real numbers range;-4

2. ### Algebra

1. Graph the function and identify the domain and range. y=-5x^2 oo=infinite A) Domain: (-oo, oo) Range: [0, oo) B) Domain: (-oo, oo) Range: (-oo, 0] C) Domain: (-oo, oo) Range: (-oo, 0] D) Domain: (-oo, oo) Range: [0, oo) 2. How

3. ### Precalculus

The function f has a domain of [0,5]and a range of [0,3]. Start by sketching a potential graph of f. Suppose the function k is defined as k(x)=f(x−3). Determine the domain and range of k. Domain: Range:

4. ### algebra

The graph of a quadratic function with vertex (3,-1). Find the range and the domain. write the range and domain using interval notation.

1. ### calcius

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain:

2. ### Calculous

the figure shows the graph of F', the derivative of a function f. the domain of the function f is the set of all X such that -3< or equal to x

3. ### Calculus

Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line

4. ### Algebra 2

The graph of an absolute value function opens up and has a vertex of (0, -3). The domain of the function is . The range of the function is

1. ### Algebra 2

A function is created to represent the amount of money in your checking account. What restrictions would be made to the domain? -The domain would include all real numbers.* -The domain would only include positive integers. -The

2. ### math111(3)

The function f(x)=(x+6)^2 is not one-to-one. Choose the largest possible domain containing the number 0 so that f(x) restricted to this domain is one-to-one. The largest possible domain is [-6,infinity) If the restriction function

3. ### math

1. Provide two examples of a function: (1) as a table of values and (2) as a graph. Explain the definition of a function. Be sure to include mathematical vocabulary in your response. 2. In a paragraph, explain what the domain and

4. ### Math(Reiny Could You Help?)

The graph of the function g(x) has the same shape and direction of opening as the graph of f(x)= 3(x-2)^2+9. The graph of g(x) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x). A.)