Find the value of x in the domain

Question

Solve the below:

1.) Find the distance between the points (4,-1) and (-5,3)

2.) Find the midpoint of the line segment with endpoints (5,-2) and (-3,12)

3.) Graph the equation y=2(x-1)²

4.) Graph the equation 3x-y=-1

5.) Find the equation of the line with slope 0 and y-intercept (0,-2). Write your answer in the form y=mx+b

6.) Write the equation of the line passing through (5,2) and (4,-2)

7.) Find the vertex of the graph of the parabola f(x)= -x²+4x-5

8.) Given the function f(x)=3x² its range is what?

9.) Evaluate g(f(1)) where f(x)=4x-5 and g(x)=2x+3

10.)Determine the x-intercept of the graph of x=y²-4

11.) Determine the center of a circle (x+2)²+(y-1)²=16

12.) Given f(x)=x2-4 if x>-1 , 3x+2 if x>=1 find f(-1)

13.) Which set of ordered pairs (x,y) define y as a function of x?

I.) {(4,7),(3,7).(2,5),(8,-8)}

II.) {(5,1), (-3,4), (-3,2)}

14.) Determine the domain of the function f(x) = √6-x

15.) Consider all the ordered pairs shown on Graph A and all the ordered pairs shown on Graph B. Which set of ordered pairs defines a function?

16.) The length of the base of a triangle is eight times the length of its altitude. Express the area (A) of the triangle as a function of its altitude x.

17.) Find the slope of the line passing through the points (-1,-2) and (1,4)

18.) For any two parallel lines:

A.the slopes are zero
B.the slopes are reciprocals
C.the slopes are positive
D.the slopes are equal

19.) Find the value of x in the domain of f(x)=-2x-3 for which f(x)=3

20.) If the quadratic function f(x)= -4x+6 is graphed the range has

A. a maximum value
B. a minimum value
C. no maximum or minimum value
D. many maximum and minimum values