(no subject)
I weep.
I. Absolute Value Inequalities: I know this, yay for me.
II. Finding Function Domains: When the domain is implied, it is the set of reals. Thus x can be any real number, except that which would cause a denominator to be 0 or f(x) to be an imaginary number (therefore, any number that would cause the number under a radical to be negative is not part of the domain -- or is that just EVEN radicals? Argh -- yeah, it's only even radicals...right?)
III. Finding Function Values: Is very simple. Yay. But not so much if I keep making stupid arithmetic mistakes. So I will stop. *nods*
IV. Interpreting Graphs: Sort of easy.
A. Finding Intercepts: not at all difficult.
B. Finding Signs: see above.
C. Finding Local Max and Min Values: I think I got it.
D. Determining Where the Function Is Increasing, Decreasing, and Constant: see above.
V. Even and Odd Functions: Functions with even exponents and/or absolute values around odd exponents are usually even. To determine evenness it is... f(-x) = f(x), and oddness would be -f(x) = f(-x). (Right...?)
VI. Difference Quotient: He said he will have the formula on the test, because he wants us to do it a certain way, so as long as I don't have to memorize, I should be okay. But, for the record, the formula is [f(h +x) - f(x)]/h -- I think.
VII. Piecewise Functions: I will never understand. Nevah!
IIX. Greatest Integer Function: This is the thing where the graph is like steps, right? And...the function value can only be integers. The greatest integer that is less than or equal to the x-value? [[4.2]] = 4 and [[-3/2]] = -2 and [[5]] = 5, yes?
Well, that was fun. I am not going to fail! (I am going to fail....)
I. Absolute Value Inequalities: I know this, yay for me.
II. Finding Function Domains: When the domain is implied, it is the set of reals. Thus x can be any real number, except that which would cause a denominator to be 0 or f(x) to be an imaginary number (therefore, any number that would cause the number under a radical to be negative is not part of the domain -- or is that just EVEN radicals? Argh -- yeah, it's only even radicals...right?)
III. Finding Function Values: Is very simple. Yay. But not so much if I keep making stupid arithmetic mistakes. So I will stop. *nods*
IV. Interpreting Graphs: Sort of easy.
A. Finding Intercepts: not at all difficult.
B. Finding Signs: see above.
C. Finding Local Max and Min Values: I think I got it.
D. Determining Where the Function Is Increasing, Decreasing, and Constant: see above.
V. Even and Odd Functions: Functions with even exponents and/or absolute values around odd exponents are usually even. To determine evenness it is... f(-x) = f(x), and oddness would be -f(x) = f(-x). (Right...?)
VI. Difference Quotient: He said he will have the formula on the test, because he wants us to do it a certain way, so as long as I don't have to memorize, I should be okay. But, for the record, the formula is [f(h +x) - f(x)]/h -- I think.
VII. Piecewise Functions: I will never understand. Nevah!
IIX. Greatest Integer Function: This is the thing where the graph is like steps, right? And...the function value can only be integers. The greatest integer that is less than or equal to the x-value? [[4.2]] = 4 and [[-3/2]] = -2 and [[5]] = 5, yes?
Well, that was fun. I am not going to fail! (I am going to fail....)