Instructions: Graph the function with the given domain. Then identify the range of the function.
y = 3x - 2; domain: x >(or equal to) 5
y= 2x + 3; domain: -4 <(or equal to) x <(or equal to) 0
And...
The weight w (in pounds) of a loaf of bread that a recipe yields is given by the function w=1/2f where f is the number of cups of flour used. You have 4 cups of flour. Graph the function and identify its domain and range. What is the weight of the largest loaf of bread you can make?
y = 3x - 2; domain: x >(or equal to) 5
y= 2x + 3; domain: -4 <(or equal to) x <(or equal to) 0
And...
The weight w (in pounds) of a loaf of bread that a recipe yields is given by the function w=1/2f where f is the number of cups of flour used. You have 4 cups of flour. Graph the function and identify its domain and range. What is the weight of the largest loaf of bread you can make?
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Sure.
y = 3x - 2
The domain means that your x coordinate can only be 5 or greater. Your line will not be to the left of five. Start with x = 5 and figure out the y value (13). Continue with values 6 and so on. You do not graph left because the domain would be less than 5.
y = 2x + 3
The domain means that x is between -4 and 0 or it is -4 and 0. Nothing can be outside of the lines x= -4 and x= 0. Write your y intercept (0,3) and graph your slope only to the left until you reach x = -4.
w = f/2
Right away you can graph starting with the origin since your y-int is (0,0) and your slope is 1/2. Do not cross the lines x = 0 or y = 0 because you can't have a negative measure.
The max is equal to the amount of flour you have divided by 2, so the max weight is 2 lb.
EDIT: domain = {0 < or equal to x < or equal to 4} range = { 0 < or equal to y < or equal to 2} You can't have negative measures.
y = 3x - 2
The domain means that your x coordinate can only be 5 or greater. Your line will not be to the left of five. Start with x = 5 and figure out the y value (13). Continue with values 6 and so on. You do not graph left because the domain would be less than 5.
y = 2x + 3
The domain means that x is between -4 and 0 or it is -4 and 0. Nothing can be outside of the lines x= -4 and x= 0. Write your y intercept (0,3) and graph your slope only to the left until you reach x = -4.
w = f/2
Right away you can graph starting with the origin since your y-int is (0,0) and your slope is 1/2. Do not cross the lines x = 0 or y = 0 because you can't have a negative measure.
The max is equal to the amount of flour you have divided by 2, so the max weight is 2 lb.
EDIT: domain = {0 < or equal to x < or equal to 4} range = { 0 < or equal to y < or equal to 2} You can't have negative measures.