Hw#51: As you complete these problems, label them using the 3-digit number at the end of the link. For example, the first problem below is 624.

http://www.illustrativemathematics.org/illustrations/624

Hint for 624: A function is a rule mapping an input to an output, but an input cannot have two outputs for *the same input. * Two *different* inputs *can have the same output *though.

http://www.illustrativemathematics.org/illustrations/635 *only do c, d, and e*

http://www.illustrativemathematics.org/illustrations/630

Hint for 630: *f*(-4)=10 means that when x=-4, y=10. What coordinate point represents that? If you are having trouble with part b, know that for part a, I can say that -4 is a solution for *f*(*x*)=10.

http://www.illustrativemathematics.org/illustrations/631

http://www.illustrativemathematics.org/illustrations/598

http://www.illustrativemathematics.org/illustrations/634

http://www.illustrativemathematics.org/illustrations/599

Hint for 599: Choose an example “parent function,” *f*(*x*) = ____, and *then* think about *f*(*x*+*h*) and *f*(*x*)+*f*(*h*).

http://www.illustrativemathematics.org/illustrations/649

Hint for 649: Note the *scale* of each graph. They are not all the same!

http://www.illustrativemathematics.org/illustrations/639

http://www.illustrativemathematics.org/illustrations/640

Hint for 640: What is a reasonable vertex? What are reasonable *x*-intercepts? What direction is the parabola opening up in? Which function matches those answers? Remember: y=(x-a)(x-b) tells you (a,0) and (b,0) are x-intercepts. y=(x-h)^2+k tells you that (h, k) is the vertex. When you multiply it out, is the leading coefficient negative or positive?

http://www.illustrativemathematics.org/illustrations/375

Hint for 375: The height of the springboard is the height that the diver *starts *at.

HW#52 p. 312-313 WE: 1, 5, 9

Graph (use a table of values, plot example points): y=x^3; y=x^1/2; y= x^1/3; y=log(x)

HW#53 p.521 EE: 9, 13; p. 517 WE: 45, 47