Busy. Please wait.
or

show password
Forgot Password?

Don't have an account?  Sign up 
or

Username is available taken
show password

why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

By signing up, I agree to StudyStack's Terms of Service and Privacy Policy.


Already a StudyStack user? Log In

Reset Password
Enter the associated with your account, and we'll email you a link to reset your password.

Remove ads
Don't know
Know
remaining cards
Save
0:01
To flip the current card, click it or press the Spacebar key.  To move the current card to one of the three colored boxes, click on the box.  You may also press the UP ARROW key to move the card to the "Know" box, the DOWN ARROW key to move the card to the "Don't know" box, or the RIGHT ARROW key to move the card to the Remaining box.  You may also click on the card displayed in any of the three boxes to bring that card back to the center.

Pass complete!

"Know" box contains:
Time elapsed:
Retries:
restart all cards




share
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how

Linear Functions

Graphing and Writing Linear Functions

ProblemSolution
Graph g(x)=2x +1 Compare this graph to the graph of f(x)=2x 1. Choose 3 values for x & plug them into the equation 2x +1. Now you have an x and y value for three ordered pairs. 2. Plot the 3 ordered pairs on the graph. 3. Plug in the same 3 x values for g(x)=2x+1.Graph and compare.
Graph the linear functions f(x)=-3x and g(x)= -3x-6. 1.Choose 4 values for x & plug them into the equation f(x)=-3x. Now you have and x and y value for four ordered pairs. 2. Plot the 4 ordered pairs on the graph. 3. Use the same 4 x values for g(x)=-3x-6. 4. Plot the 4 ordered pair values/Compare.
Find the equation of the line with slope -3 and y-intercept (0,-5). Write the equation using function notation. 1. Knowns-slope-(m=-3), y-intercept (b=-5) 2. Use slope intercept form y=mx +b and plug in values y=-3(x) +(-5)or y=-3x-5. 3. In function notation y is replace with f(x), so f(x)=-3x-5.
Find the equation of the line through the points (4,0) and (-4,-5). Write the equation using function notation. 1. Find slope of the line using slope formula m=y2-y1/x2-x1 2. m=-5-0/-4-4....m=-5/-8=5/8. Slope 5/8 3. Use point slope form y-y1= m(x-x1)... y-0=5/8(x-4). 8y=5x-20 4.Solve for y. y=5/8x- 20/8 or y=5/8x-5/2 5.Substitute f(x) for y.
Find the equation of the horizontal line containing the point (2,3). Write the equation using function notation. 1. A horizontal line's equation is y=c. 2. Because the line contains the ordered pair (2,3), the equation is y=3. 3. To write in function notation replace the y with f(x).....so f(x)=3.
Find the equation of the line containing the point (4,4) and parallel to the line 2x +3y=-6. Then write the equation in standard form. 1 Parallel lines will have equal slopes. 2. Find the slope of 2x + 3y=-6, by using the slope-intercept form y=mx + b... y=-2/3x-2. 3.A parallel line to this line (slope -2/3)will also have slope -2/3. Use point-slope form y-y1=m(x-x1)/Solve/2x+3y=20
Write a function that describes the line containing a point (4,4) and perpendicular to the line 2x +3y=-6 1. A line that is perpendicular to another line will have (-) reciprocal of slope of that line. 2. Use point-slope equation y-y1=m(x-x1). 3. Plug in values x1=4,y1=4,m=3/2 (reciprocal of 2/3). Solve. 4. Change y to f(x) for function notation.
Created by: hikebike