To Function or Not to Function?
In the set {(4,1), (6,2), (7,5), (9,2)}, the input 6 maps to this output.
2
Find f(3) if f(x)=3x+5
14
A water tank already has 50 gallons in it. It is being filled at a rate of 5 gallons per minute. This function models the total gallons, G, after m minutes.
G(m) = 5m + 50
True or False: The function f(x)=9−5x is decreasing
True. It has a negative slope
What is the y-intercept of the line g(x)=(3/5)x−2?
-2
Why is the set {(5,5), (6,10), (10,15), (5,20)} not a function?
Because the input 5 has two different outputs (5 and 20).
Find f(3) if f(x)=(1/2)x2−1.5
3
Mei starts with 6 dolls and gets 4 more each year. This function models her total dolls after x years.
f(x)=4x+6
The function f(x)=4x−8 is increasing and has a zero at this x-value.
2
Zero is where the function equals zero:
4x-8=0 and then solve
A bus fills with 15 people per minute until it reaches 45 people. The domain for this loading function is 0≤x≤[this number].
3
A function is a relation where every input has exactly one of these.
one output
[each x value has only one y value]
Find f(3) if f(x)=3/2x
0.5
A line has a slope of 3 and passes through (1, 5). Its equation in point-slope form.
y−5=3(x−1)
On the interval from x=8 to x=12, the function f(x)=−3x+2 has a maximum value of -22 at this endpoint.
8
A line passes through the points (0, -3) and (2, 1). What is the equation of this line in slope-intercept form?
y = 2x - 3
If you are given a graph, this type of test helps to determine if the graph represents a function
A vertical line test
If f(x)=−2x+7, find the value of x for which f(x)=15
-4
A line with a slope of -2 passes through the point (-3, 8). Its equation in slope-intercept form.
y=−2x+2
For f(x)=(1/3)x−8 on the interval −1≤x≤2, the function does this (increases/decreases).
Increases - it has a positive slope
The function f(x)=12x−4 is graphed. Over the domain [−2,0,2,4], what is the corresponding range? Write your answer as a set of numbers.
Hint: they are giving you the x values. find the corresponding y values.
{-5, -4, -3, -2}
This set of ordered pairs does NOT represent a function:
A {(1, 2), (2, 3), (3, 4), (4, 5)}
B {(-1, 0), (0, 1), (1, 2), (2, 3)}
C {(5, 1), (5, 2), (6, 3), (7, 4)}
D {(8, 10), (9, 11), (10, 12), (11, 13)}
C
Evaluate f(0)+f(2) for the function f(x)=x2−3x+1
0
A company's profit is modeled by P(x)=15x−150, where x is items sold. They break even after selling this many items.
10
The function f(x)=−2x+2 has a minimum value at x=-1 on the interval [-1, 2]. True or False?
False (The function is decreasing, so its minimum is at x=2, and its maximum is at x=-1)
The graph of a function is a horizontal line that passes through the point (0, 5). What is the domain and range of this function?
Domain: All Real Numbers; Range: {5}