Ijust need guidance on how to answer these, math isn't my best subject (clearly). !
1. in the formula s=a1(1−r), what restrictions are placed on the variable r?
2. the formula a=12bh can also be expressed as a=bh2. do you agree?
3. if x and y are real numbers, and xy=0, then either x=0 or y=0. do you agree?
4. do the inequalities x< 4 and x2< 42 both have the same solution set? explain.
5. discuss the graph of xy=0
6. how many y-intercepts can a function have?
how many x-intercepts can a function have?
7. does the graph of every quadratic function of the form
f(x)=ax2+bx+c
have a y-intercept? if so, what are the coordinates of the y-intercept?
8. how are the domain and range of a one-to-one function, f, related to the domain and range of the inverse function of f?
9. discuss the properties of the graph of f(x)=bx when b> 1
10. for what values of x is lnx> logx?
11. the maximum value of f(x)=3sinx+4 is 7. thus f has an amplitude of 7.
12. is the dot product of two vectors a vector or a scalar? explain.
13. are there any even prime numbers? if so, name them.
14. is the proposed simplification shown below correct? if it is incorrect, show a correct simplification.
2×3^2 = 6^2 = 36
15.
archimedes determined that 223/71< π< 22/7. is it possible to find an exact representation for π of the form ab, where a and b are integers?
can π be written as a fraction?
16. the expressions −a^n and (−a)^n don't always represent the same number. discuss the situations in which the two expressions are equal and those in which they are not equal.