Linear Functions
In the equation y = mx + b, what does b represent?
The y-intercept
Is f(x) = 2(5)^x exponential growth or exponential decay?
Exponential growth
Simplify: x^3 * x^4
x^7
What shape does a quadratic function make when graphed?
A parabola
What is the solution to a system of equations?
The point where the graphs intersect
A line has a negative slope. Is the graph increasing or decreasing from left to right?
Decreasing
In f(x) = 2(5)^x, what is the starting value?
2
Simplify: (x^5)^2
x^10
Does y = -3x^2 open upward or downward?
Downward
Solve the system: 3x + 2y = 12 and y = x + 1
(2, 3)
Write the equation of a line with slope -3/4 and y-intercept 2.
y = -3/4x + 2
An exponential graph crosses the y-axis at (0, 3). What is the y-intercept?
3
Simplify: y^8 / y^3
y^5
Compared to y = x^2, is y = -3x^2 wider or narrower?
Narrower
In the inequality 2x + 3y <= 6, should the boundary line be solid or dashed?
Solid
What is the x-intercept of y = -3/4x + 2?
(8/3, 0)
An exponential decay graph gets closer and closer to the x-axis. What is its horizontal asymptote?
y = 0
Simplify: (-3x^5y^3)^2
9x^10y^6
If a parabola has no real zeros, what does that mean about its graph and the x-axis?
It does not touch or cross the x-axis
Rewrite 2x + 3y <= 6 in slope-intercept form.
y <= -2/3x + 2
Find the slope of the line that passes through (0, 2) and (4, -1).
-3/4
Sarah invests $1,750 at 6% interest compounded annually. Write the function that models the account after x years.
f(x) = 1750(1.06)^x
Simplify: (2x^3y^4)^3
8x^9y^12
A quadratic graph has a lowest shown y-value of -4 and a highest shown y-value of 5. What is the range of the part shown
-4 <= y <= 5
Factor: 2x^2 + 9x - 35
(2x - 5)(x + 7)