Vocabulary
The equation y=mx+b is called..?
What is...... slope intercept form
What is the zero of the linear Function f(x)= 2x-10
what is..... x=5 or (5,0)
State the domain and range for f(x)= x+2
What is...Domain (all real numbers) and Range (all real numbers)
(pos infinity to negative infinity)
Write the equation in point slope form for a line passing through (4,-2) with a slope of m=5
What is...... y+2=5(x-4)
The _______ is when you have exactly one input with exactly one output.
What is.....Function
State whether the function is increasing or decreasing and justify why
g(x)= -4x+9
What is.....Decreasing. The function is decreasing because the slope is negative meaning the function is decreasing at a constant rate.
A 12 inch candle burns at a constant rate of 1.5 inches per hour. h(t)=12 = 1.5t until it burns out. State the domain and range in inequality notation.
What is... Domain (time) 0<t<8 hours and Range (height) 0<h<12 inches (less than or equal to and greater than or equal to)
When is it appropriate to use point slope form. Be specific.
What is....when you have the slope and at least one point. The point slope can be used to create a linear function.
The equation y-y1=m(x-x1) is called.....
What is.... point-slope form
Describe the end behavior of the linear Function f(x) = 3x+2 as x approaches negative infinity and as x approaches positive infinity. (You should have two answers)
What is.....As x is approaching positive infinity, f(x) is approaching positive infinity......As x is approaching negative infinity f(x) is approaching negative infinity.
A student Council sells x raffle tickets for $5 each with a maximum limit of 10 tickets per buyer. Write the function C(x) and list its domain and range. (domain are all possible x values and range are all possible y values)
What is...... domain {0,1,2,3,4,5,6,7,8,9,10} and Range {0,5,10,15,20,25,30,35,40,45,50}
A line passes through (2,7) and (6,15). Write an equation in point slope form using point (2,7).
What is...... y-7=2(x-2)
Another name of the x intercept of the graph of a function is the _____ of the function.
What is......zero(s)
A train travels towards its destination at a distance modeled by
d(t) = 300-60t. Find the zero of the function and explain its meaning.
Given the linear function f(x) = -4x+15 defined on the restricted domain (only these x values) determine the range of the function. Write in inequality notation
What is...... -9 less than or equal to y less than or equal to 27
-9<y<27
A pool drains at a constant rate. After 2 hours, 1200 gallons remain after 5 hours 450 gallons remain. Write point slope form and calculate how long it takes to drain the pool completely.
What is.... y-1200= -250(x-2). The pool drains at x = 6.8 hours. (6 hours and 48 minutes)
What vocabulary word or phrase describes the trend of a functions graph as it approaches positive or negative infinity?
What is.....end behavior
Given h(x)= -2/3x + 8 defined on the restricted domain 1<x<9 Identify the maximum and minimum values of the function.
What is h(1)= 22/3 or 7 1/3 (maximum) and h(9)= 2 (minimum)
A data plan charges $30 flat for up to $5 GB of data, plus $10 per additional GB up to a maximum cap of $10 GB total usage. State the reasonable domain and range for the total cost function C(g) where g is gigabytes used.
What is..... Domain (GB) (0<g<10) and Range (Cost) (30<y<80)
A plumber charges a flat service fee plus hourly rate. A 3 hour job costs $210 and a 6 hour job costs $360. Identify the slope, the flat service fee, and write it in point slope form.
What is....50 per hour with a flat fee of $60. y-210=50(x-3)