Properties of sec

[delish_fish]

State the properties of y = 2sec(-2x + 180°) + 3.

I've graphed the equation and I'm not quite sure if these properties are correct:

domain: (x|x not equal to -135,-45, 45, 135, xER)
range: (y|y, 1>y>5, yER)
period: 180
vertical asymptotes: x=-135,-45,-45,45,135
y-intercept: 0,1
x-intercept: none

I feel like they are correct, but I could be wrong.... :\\\

 

[mmm4444bot]

State the properties of y = 2 sec(-2x + 180°) + 3

I've graphed the equation

domain: (x|x not equal to -135,-45, 45, 135, xER)

You're on the right track, here, but there are an infinite number of exceptions for x.

You need to write a symbolic statement, to account for all of them.

Looks like the exceptions might be odd multiples of plus-or-minus 45 degrees, yes?


range: (y|y, 1>y>5, yER)

This set-builder notation needs some fixing.

Use curly braces, and drop the "y," part.

Write the inequality as a compound inequality, instead.

(You're trying to say that y must be smaller than 1 OR larger than 5, yes?)


period: 180

I agree.


vertical asymptotes: x=-135,-45,-45,45,135

Again, these are four of them, but there's infinitely more.

Write a symbolic statement to account for them all.


y-intercept: 0,1

I agree.


x-intercept: none

Huh?

If you looked at your graph, then perhaps your graph is wrong.

Please double-check your graph entries, and then look again.