Math 121 – Sections 2

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Math 121 – Sections 2.1 – 2.2

1. For the points (-1, 2) and (5, 4), find the

a. distance between the points &= nbsp; &nbs= p; &= nbsp; b. midpoint between the points

2. Find t= he intercepts for the equation. x² – y =3D 16

3. For the circle in general form, put the equation in standard form.

= ; x²+4x+y²-10y-7 =3D 0<= /span>

4. For the circle, (x-3)² + (y+1)² =3D 16=

the center is ________,

the radius is _______.

sketch the graph.

5. State (yes or no) whether each of the follo= wing describes a function relationship?

= ; 2x + |y| =3D 4 &n= bsp; = ; <= /span>

6. a. Find the domain for each of the followin= g.

= ; f(x) =3D x² - 4x -5 = &nb= sp; = &nb= sp; =

b. For the function f(x) =3D 5x-4, find f(x+3). &= nbsp; _________

Use the graph for Problems 7 & 8.

7.      a. If = f(x) =3D -1, x =3D _____________

       b. D= omain =3D ______________

       c. R= ange =3D ______________

8.      a. Sta= te the x- and y-intercepts.

  = ;          x =3D ____________

  = ;          y =3D __________=

      b. State t= he intervals (if any) where the graph is increasing, decreasing and constant.<= o:p>

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