Hyperbolic Function Sketching

Question 1

Domain and range of sinh and the look

Answer 1

All real numbers
All real numbers
Cubic graph

Question 2

Domain range and look of cosh

Answer 2

Domain - x > 0
Range — f(X) >= 1
U shape

Question 3

Tan domain range and look

Answer 3

Domain — all real numbers
Range — asymtotes at -1 1
S shape

Question 4

ARCOSH domain range and look

Answer 4

Domain = X is bigger or equal to 1
Range = Bigger or equal to 0
Half a U shape on an X axis

Question 5

Artanh domain range and look

Answer 5

Domain = -1 < X < 1
Range all real numbers
Vertical asymptotes
Looks like a tanh graph on Y axis

Question 6

Arc Sinh domain range and look

Answer 6

Domain is all real numbers
Range all real numbers
Look sinh graph reflected in Y axis

Question 7

Cosech domain range look

Answer 7

Domain all real numbers
X does not equal 0
Range is all real numbers
F of X doesn’t equal 0
Looks like cubic graphg

Question 8

Sech domain range and look

Answer 8

Domain is all real numbers
Range is 0 < F of X <= 1
Looks like a normal distribution curve

Question 9

Coth domain range and look

Answer 9

Domain is all real numbers but X does not equal 0
Range is f(x) < -1 or f(x) > 1
Looks like 1/x graph with asymptotes to 1 and -1