Answer:
We have been given the four functions
f(x) from two points (-2,2) and (-1,-1)
Using two point formula which is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-2=\frac{-1-2}{-1+2}(x-(-2)[/tex]
On simplification we get:
[tex]y=-4-3x[/tex]
[tex]f(x)=-4-3x[/tex]
g(x) is given:
[tex]g(x)=3x-4[/tex]
Now, for h(x) we have information Kelly had 4 apples in her kitchen that is 4x
And one was left on tuesday
So, [tex]h(x)=4x-3[/tex]
And for j(x) we have been given points:
(-2,-2),(2,10),(6,22)
So, again using the two point slope form to get the function:
[tex]y+2=\frac{10+2}{2+2}(x+2)[/tex]
On simplification we will get:
[tex]y=4+3x[/tex]
[tex]j(x)=4+3x[/tex]
We need to tell the slope and y-intercept
For slope we compare the function with the general equation of line which is y=mx+c; m is slope
And for y-intercept put x=0 in the function.
For f(x)=-4-3x
slope is: -3
And y-intercept is: (0,-4)
For g(x)=3x-4
slope is: 3
And y-intercept is: (0,-4)
For h(x)=4x-3
Slope is: 4
And y-intercept is: (0,-3)
For j(x)=4+3x
Slope is: 3
And y-intercept is: (0,4)
Answer:
We have four functions:
For f(x) we have two points (-2,2) and (-1,-1)
we will use two point form which is:
So, on substituting the values we get:
So, f(x)=-3x-4
We have g(x)=3x-4
Now, we will from h(x) we have two points let initial point on monday is (0,4) and tuesday (1,1) again use two point form we get:
So, h(x)= -3x+4
Now, we will form j(x) we have three points (2,10) , (-2,6) and (2,22)
We will use (-2,6) and (2,22) to find the function with two point form.
j(x)= 4x+14
To find the slope we will compare the given function with general equation which is y= mx +c; m is the slope
And to find y-intercept we will put x=0
f(x)=-3x-4
Slope is: -3
And y-intercept is: (0,-4)
g(x)=3x-4
Slope is: 3
And y-intercept is: (0,-4)
h(x)= -3x+4
Slope is: -3
And y-intercept is: (0,4)
j(x)= 4x+14
Slope is: 4
And y-intercept is: (0,14)
