answer these three questions. there are 3 images attached below and they apply to each question, in order.
1)
a) is this a function? why or why not?
b) what is the domain?
c) what is the range?

2)
a) is this a function? why or why not?
b) what is the domain?
c) what is the range?

3)
a) is this a function? why or why not?
b) what is the domain?
c) what is the range?

1. a. Yes. Every point in the domain maps to only one point in the range.
1. b. Presumably, all values of belong to the domain.
1. c. As the graph depicts, the function takes on all values greater than and including , i.e. .

2. a. No. For all , there are two values in the range that maps to. For instance, when , we have, approximately, .
2. b. All .
2. c. All .

3. a. No. When , we have .
3. b. Assuming each point shown on the plot are all the points, then the domain is .
3. c. .

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12