Functions
Misc.
Linear Functions
function notation
Eqautions of lines
100
Does the mapping diagram represent a function?
Yes!
100
TRUE or FALSE
The the line y =2 is not a function
FALSE
y=2 is a horizontal line. (HOY)
X=2 would be an example is a line that is not a functions because x =2 (vertical line VUX)
100
Write an equation in slope-intercept form that passes through ( 3,8) and has a slope of 1/3.
y=1/3x + 7
100
Find the value f(4) is f(x)= -3x + 2
f(4) = -10
100
What is the formula for point-slope form?
y-y1=m(x-x1)
200
Is the relationship a function?
(1,6) (2,3) (3,2) (4,1) (5,0)
Yes!
200
Find the x-intercept of the line below:
y = -3/2x + 4
(8/3, 0)
200
Write a linear function that produces the given relationship.
y=2/5x-1
200
find x if f(x) = 12 and f(x)= -2x + 6
x=-3
200
Is the function linear or nonlinear?
NONLINEAR
300
Does the relation represent a function?
No!
300
Writing the following equation in slope- intercept form:
4x -3y = -18
y= (4/3)x + 6
300
What is the y-intercept of the line that passes through the points (-2, 12) and (-1, 9).
6 or (0,6)
300
Find f(-3) if f(x) = 2x2 -4x
f(-3) = 30
300
Write an equation of the line in point -slope form that passes through the point (2,-7) and (4, -10)
y+ 7 = =-3/2(x-2)
OR
y+10 = -3/2(x-4)
400
Name the domain of {(1,3),(4,7), (1,5), (5,7)}
{1,4,5}
Do not repeat
400
Write an equation of a line in slope-interept form that passes through the points (1,-5) and (4,-14)
y= -3x -2
400
What is the x-intercept of the line that passes through the points (0, 6) and (1, 3)
(2,0)
400
find x if f(x) = -34 and f(x) = 5x +1
x=-7
400
Write an equation of a line in slope intercept form that for passes throught the points (-3,-8) and (5,8)
y=2x-2
500
What numbers can we put into the blank that will result in the relation NOT being a function?
(2, 5) (___, 6) (6, 8) (5, 3)
2, 6, or 5
500
What is the value of the function when f(8)
f(x)=3/4 x+14
20
500
Write a linear function for the relationship:
y=12x–14
500
Find 2f(3) is f(x) = 3x +1
20
500
Given the equation 3x -7y = -21. Find the x and y intercept.
the x- intercept is -7
the y-interceot is 3
600
State the domain & Range of the function shown in the graph.
Domain:
-4<=x<infty
Range
-infty<y<infty
600
Write the equation of the line that passes through the points (0, 6) and (-3, 0) in either standard form or slope-intercept form.
2x - y= - 6
or y = 2x + 6
600
Write a linear function for the relationship in both Slope intercept form and standard form:
y=5/9x-4
5x - 9y = 36
600
find 3(f(2)) + g( -8) if f(x) = -2x -4 and g(x) = x2
40
600
Find the equation of a line in point-slope form first that has a slope of -4 and passes through the points (3,-8).
Next, tranform into slope-intercept form
y+8 = -4(x-3)
y= -4x-4