Unit 1: Modeling Linear Functions
Using the integers −9 and 9 create a function
f(x)=9x-9
Solve for x 2x = 6
3x
solve for 'x' in 2x + 5 = 11.
3
A taxi ride costs $3 plus $2 per mile. Write a function to represent the total cost (C) as a function of the number of miles (m).
(C(m) = 3 + 2m)
The standard form of a quadratic function is what?
y=ax2+bx+c
Using the integers -11 and 3 create a function
f(x)=-11x+3
Find the slope of the line passing through the points (1, 2) and (3, 8).
The slope of the line is 3.
Find the slope and y-intercept of y = 3x + 4.
Slope=3, Y intercept =4
Graph the quadratic function y = x² - 4
Use Your Calculator!!!
vertex at (0, -4)
x-intercepts at x = -2 and x = 2).
The vertex form of a quadratic function is what?
y=a(x-h)2+k
Solve the equation: 2x + 5 = 11
3
Solve for x: 2(x + 3) = 10
2x+6=10
Solve the following:
2x - y = 1.
y=2x-1
Solve the equation 2x + 5 = 11. (x = 3)
3
Solve the equation: x² + 5x + 6 = 0.
x=-2,-3
3x+7
Solve the inequality: 3x - 5 > 7
x>4
is it rational?
5/7
yes because it is a fraction
Is the relation {(1, 2), (2, 2), (3, 4)} a function?And why?
Yes, because each input (1, 2, 3) has only one corresponding output
Find the vertex of the parabola: y = 2x² - 8x + 5.
(2,-3)
What is the value of x if 5(x - 2) = 15?
5
Solve the system of equations:
- x + y = 5
y=x+5
Solve the following:
3x + 2 < 11
x<3
Given the points (2, 6) and (4, -3), find the slope between the two points.
-9/2
A ball is thrown upwards, and its height (h) is given by h = -5t² + 20t + 10, where t is time. What is the maximum height? In feet!
The Maximum height is 30 feet.