The total cost in dollars to buy uniforms for
the players on a volleyball team can be found
using the function
where is the number of uniforms bought.
If there are at least 8 players but not more
than 12 players on the volleyball team, what
is the domain of the function for this
situation?
c = 30.75u + 5.75,
u
0 < u ≤ 12
0 < c ≤ 374.75
8, 9, 10, 11, 12
251.75, 282.50, 313.25, 344, 374.74
The domain of the function in this situation is 8, 9, 10, 11, and 12.
A function is shown.
What is the value of `f\left(-2\right)?`
In order to determine the value of `f(-2)`, we need the specific function that was given. Please provide the function so that we can assist you.
A function is shown.
f(x)=10-4x
What is the value of `f\left(-2\right)?`
To find the value of `f(-2)`, we substitute -2 into the function f(x) and evaluate it.
f(-2) = 10 - 4(-2)
= 10 + 8
= 18
Therefore, the value of `f(-2)` is 18.
Look at the relation in the graph. Which choice
best represents the domain?
−2,0,1,5
−2,3,4,5
0,1,4,5
−3,0,4,5
To determine the domain of the relation represented by the graph, we need to identify the x-values or inputs that are included in the graph. Looking at the graph, it appears that the x-values included are -2, 0, 1, and 5.
Therefore, the best choice that represents the domain of the relation is -2, 0, 1, 5.
The table represents some points on the graph
of a linear function.
x y
−2 −11
2 −17
4 −20
Which function represents this relationship?
y = − 2
3
x + 4
y = − 2
3
x − 14
y = − 3
2
x − 9
y = − 3
2
x − 1
To determine the function that represents this relationship, we need to find the slope-intercept form of a linear equation using the given points on the graph.
Using the points (-2, -11) and (2, -17), we can calculate the slope:
slope = (change in y) / (change in x) = (-17 - (-11)) / (2 - (-2)) = -6 / 4 = -3/2
Next, substitute one of the points and the slope into the slope-intercept form (y = mx + b) to find the y-intercept (b):
-11 = (-3/2)(-2) + b
-11 = 3 + b
b = -14
Now we can write the equation of the linear function:
y = (-3/2)x - 14
Therefore, the function that represents this relationship is y = (-3/2)x - 14.
Which equation is best represented by this
graph?
y = − 4
7
x + 4
y = − 4
7
x + 7
y = − 7
4
x + 4
y = − 7
4
x + 7