X and Y Intercepts
y = 2x + 4
Find the x-intercept and y-intercept. Write your answers as ordered pairs.
What is
y-intercept: (0,4)
x-intercept: (-2,0)?
Change the explicit formula into slope-intercept form.
an = 5 + 2(n - 1)
Identify the y-intercept of the function (as an ordered pair).
What is y = 2x + 3?
What is (0,3)?
Figure out if this table represents a linear or non-linear function. If it's linear, write the slope-intercept form of the line.
1 4
2 4
3 4
4 4
What is linear?
y = 0x+4
y = 4
Evaluate the function f(x) = 15x - 41 at each of these values.
f(2)
f(0)
Use the correct notation in your answer or it will be wrong!!
What is
f(2) = -11
f(0) = -41
?
A flower is currently 2 inches tall and grows 3 inches every week.
Write a function that describes the height of the flower, f, after w weeks in slope-intercept form.
What is f(w) = 3w + 2?
y = -3x + 12
Find the x-intercept and y-intercept. Write your answers as ordered pairs.
What is
y-intercept: (0,12)
x-intercept: (4,0)?
Change the explicit formula into slope-intercept form.
an = 5 + 0.2(n - 1)
Identify the y-intercept of the function (as an ordered pair).
What is y = 0.2x + 4.8?
(0, 4.8)
Figure out if this table represents a linear or non-linear function. If it's linear, write the slope-intercept form of the line.
1 12
2 24
3 36
4 48
What is linear?
y = 12x
Evaluate the function f(x) = 23x + 12 at each of these values.
f(6)
f(-2)
Use the correct notation in your answer or it will be wrong!!
What is
f(6) = 150
f(-2) = -34
?
A tank that has 400 gallons of water in it is being drained at 20 gallons per minute.
Write a function that describes the amount of gallons in the tank, g, after m minutes in slope-intercept form.
h(t) = 9t - 81
Find the x-intercept and y-intercept. Write your answers as ordered pairs.
What is
y-intercept: (0,-81)
x-intercept: (9,0)?
Change the explicit formula into slope-intercept form.
an = -3 + 5(n - 1)
Identify the y-intercept of the function (as an ordered pair).
What is y = 5x - 8?
(0,-8)
Figure out if this table represents a linear or non-linear function. If it's linear, write the slope-intercept form of the line.
-2 -7
0 -6
2 -5
4 -4
What is linear?
y = 1/2x - 6
Evaluate the function f(x) = 29.5x - 15.3 at each of these values.
f(99.1)
f(-14.2)
Use the correct notation in your answer or it will be wrong!!
What is
f(99.1) = 2908.15
f(-14.2) = -434.2
?
A tree is currently 10 feet tall and grows 2 feet per year.
Write a function that describes the height of the tree, t, after y years in slope-intercept form.
What is t(y) = 2y + 10?
Your mom gave you $20 to spend at Ridley's throughout the school week. Each day you buy one candy worth $4. This scenario is modeled by the equation:
d(t) = -4t+20
Write the x and y intercepts as ordered pairs, AND describe what they mean in terms of the situation.
What is
y-intercept: (0,20) On day 0, you have $20.
x-intercept (5,0) On day 5, you have $0.
?
Change the explicit formula into slope-intercept form.
an = 4 - 0.5(n - 1)
Identify the y-intercept of the function (as an ordered pair).
What is y = -0.5x + 4.5?
(0,4.5)
Figure out if this table represents a linear or non-linear function. If it's linear, write the slope-intercept form of the line.
-10 -27
-5 -17
0 -7
5 3
What is linear?
y = 2x - 7
Evaluate the function f(x) = 0.08x + 4.02 at each of these values.
f(12.6)
f(-1.09)
Use the correct notation in your answer or it will be wrong!!
What is
f(12.6) = 5.028
f(-1.09) = 3.9328
?
Malik received a $300 gift card from his grandparents and is using it only to pay for his karate lessons, which cost $30 per month.
Write a function that describes the dollar amount of money, d, on the card after t months in slope-intercept form.
What is d(t) = -30t + 300?
Suppose an elevator starts at the top floor of a high-rise building at a height of 450 feet above the ground floor and descends without stopping at a constant rate of 15 feet per second. The scenario is modeled by the equation:
h(t)=-15t+450
Write your x- and y-intercepts as ordered pairs, AND explain what they mean in terms of the situation.
What is
y-intercept: (0,450) At 0 seconds, the elevator is at 450 feet.
x-intercept: (30, 0) At 30 seconds, the elevator is at 0 feet.
?
Change the explicit formula into slope-intercept form.
an = 1/2 + 1/2(n - 1)
Identify the y-intercept of the function (as an ordered pair).
What is y = 1/2x?
(0,0)
Figure out if this table represents a linear or non-linear function. If it's linear, write the slope-intercept form of the line.
-6 -10
-3 -4
0 2
3 8
What is linear?
y = 2x + 2
Evaluate the function f(x) = 31.5x - 17.7 at each of these values.
f(6.2)
f(-27)
Use the correct notation in your answer or it will be wrong!!
What is
f(6.2) = 177.6
f(-27) = -868.2
?
Suppose an elevator starts at the top floor of a high-rise building at a height of 450 feet above the ground floor and descends without stopping at a constant rate of 15 feet per second.
Write a function that describes the height, h, of the elevator after t seconds in slope-intercept form.
What is h(t) = -15t + 450?