F(x)=-1x-1

1) Pick 2 points on the line (i chose (-4,3) and (3,-4)
2) Find slope of the line using the 2 points. (work below)
3) Find y-intercept, which is the point where y-axis and the line cross (y-intercept is -1).
4) Place both slope and y-intercept into slope-intercept form, y=mx+b (m=slope and b=y-intercept.)
5) Change y to f(x) (meaning function of x).

Work:
3-(-4)/-4-3=3+4/-4-3=7/-7=-1

y-intercept equals -1 also.

y=mx+b
y=-1x+(-1)
y=-1x-1
f(x)=-1x-1<---Answer

6 0

3 years ago

Which algebraic function has a smaller rate of change than the equation? f(x)=2x−9

vredina [299]

It will be the second option i believe

4 0

2 years ago

Find the equation of the axis of symmetry and the coordinates of vertex of the functions =2x^2+4x-3

SVEN [57.7K]

Hello,

Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.

$f(x)=2x^2+4x-3\\\\\alpha=-\dfrac{b}{2a}=-\dfrac{4}{4}=-1\\\\$

The equation of the axis of symmetry is then : $x=-1$

$\beta=f(\alpha)=2(-1)^2+4(-1)-3=2-4-3=-5$

Coordinates of vertex : $(\alpha,\beta)=(-1;-5)$

8 0

3 years ago