1.6,1.8,1.9

Question 1

Vertical asymptote

Answer 1

x=

Question 2

Horizontal asymptote

Answer 2

y=

Question 3

Three types of symmetry

Answer 3

Even, odd, neither

Question 4

Even symmetry

Answer 4

Plus in 2 and -2 and if the same value, then even. These functions will be symmetrical about the y axis. Example: y=x^2

Question 5

Odd symmetry

Answer 5

Example: y=x^3. Plug in 2&-2 and will get same value except one positive one negative. Like 10&-10. These functions are symmetrical about the origin.

f(x)= -f(-x) 
f(-x)= -f(x)

Question 6

Neither

Answer 6

When a function does not reflect across the axis. Plug in 2 and -2. 8 doesn’t = 14.

Question 7

X-intercept

Answer 7

Y=0

Called roots, zeros, solutions

Question 8

Y-intercept.

Answer 8

X=0.

Question 9

Calculating x-intercepts on Calc

Answer 9

2nd trace. Zero. Left bound, right bound.

Question 10

What creates an asymptote?

Answer 10

For logs and exponents. A line that can never be crossed.

Question 11

Name the asymptote for log base 3 (x+5)

Answer 11

Vertical asymptote at x=-5.

Question 12

Where do logs start at?

Answer 12

(1,0)

Question 13

Name the asymptote for 3^x -1.

Answer 13

Horizontal asymptote at y=-1.

Question 14

Where do exponentials start at?

Answer 14

(0,1)

Question 15

What determines our end behavior?

Answer 15

Horizontal asymptotes.

Remember, no end behavior for vertical asy.

Question 16

True or false: is there end behavior at + ∞?

Answer 16

False. Because there’s no stopping.

Question 17

What kind of asymptotes do logs have?

Answer 17

Vertical

X=

Question 18

What kind of asymptotes do exponentials have?

Answer 18

Horizontal.

Y=