Question

1 you found that the iv drip data graphed as a straight line, and its symbolic form is y = 1000 - 2x. what is the name of shape of the graph of the symbols y = 5000 - 7x?
2 a) what is the name of the shape of the graph of y = 4x - 500?
b) what is the name of the shape of the graph of y = 2x - 5?
c) make a conjecture about the shape of the graph of y = dx + e.

1. you found the passing car data was a v - shape when graphed. the symbols for the passing car data are y = 44|x - 8| what is name of the shape of the graph of the symbols y = 22|x - 4|?
2. a) what is the shape of the graph of y = 3|x + 2| - 4?

b) what is the shape of the graph of y = -3|x + 2| - 4?
c) make a conjecture about the shape of the graph of y = a|x - h| + k where a, h, and k are real numbers and a ≠ 0.
5 you found that the rectangle data was a curve called a parabola. the symbols that model the rectangle data are y = -x² + 15x what is the shape of the graph of the symbols y = -2x² + 14x?
6 a) what is the shape of the graph of y = -x² + 5?
b) what is the shape of the graph of y = x² - 5x + 2?
c) make a conjecture about the shape of the graph of y = ax² + bx + c where a, b, and c are real numbers and a ≠ 0.
7 you saw the e coli data was a curve that looked like a backwards l. the symbols that model the e coli data are 5000(1.035)ˣ what is then name of the shape of the graph of the symbols y = 300(2.045)ˣ?
8 a) what is the shape of the graph of 3(4)ˣ?
b) what is the shape of the graph of 2(4)ˣ + 1?
c) what is the shape of the graph of 0.5(4)ˣ + 2?
d) make a conjecture about the shape of the graph of y = a(b)ˣ + k

1. compare and contrast the graphs of each pair of functions

a) compare f(x)=2x - 3 with g(x)=2ˣ + 3

Explanation:

All questions involve identifying the shape of graphs of various functions, which is a topic in Geometry focusing on function graphs.

Answer:

1. Straight line
2. a) Straight line

b) Straight line
c) Straight line

1. V-shape
2. a) V-shape

b) Inverted V-shape

1. Parabola
2. a) Parabola

b) Parabola
c) Parabola

1. Backwards L-shape
2. a) Backwards L-shape

b) Backwards L-shape
c) Backwards L-shape
d) Backwards L-shape

1. a) f(x)=2x-3 is a straight line; g(x)=2^x+3 is a backwards L-shape (exponential curve). They differ in that one is linear and the other is exponential.

b) (Incomplete information in the provided text, unable to fully answer.)