Polynomials and Asymptotes

Question 1

what is the criteria for something being a polynomial?

Answer 1

✅ Have only whole number exponents (negatives are not whole numbers).
✅ Have no variables in denominators.
✅ Have no variables inside square roots.

Question 2

which direction does the curve go in y=a^x

Answer 2

positive, right

Question 3

which direction does the curve go in y=a^-x

Answer 3

positive, left

Question 4

which direction does the curve go in y=-a^-x

Answer 4

negative, left

Question 5

which direction does the curve go in y=-a^x

Answer 5

negative, right

Question 6

criteria for one to one?

Answer 6

V ✅ Passes
H ✅ Passes

Question 7

criteria for many to one?

Answer 7

V ✅ Passes
H ❌ Fails

Question 8

criteria for One-to-Many

Answer 8

V fails
H passes

Question 9

criteria for many to many

Answer 9

V fails
H fails

Question 10

what is the formula for when y is “directly proportional” to x?

Answer 10

y=kx

Question 11

what is the formula for when y varies inversely to x?

Answer 11

y=k/x

Question 12

for the function f(x), f(x-h) shifts the graph…

Answer 12

h units right

Question 13

for the function f(x), f(x) + K shifts the graph…

Answer 13

K units up

Question 14

if y=f(x), y=-f(x) reflects

Answer 14

about the x axis

Question 15

if y=f(x), y=f(-x) reflects

Answer 15

about the y axis

Question 16

if y=f(x), y=-f(-x) reflects

Answer 16

point symmetry around the origin of 180 deg (flip x, flip y)