Function w gives the weight of a cat, in kilograms, when it is m months old.
Which statement represents the meaning of the equation w\left(7\right)=4 in this situation?
The cat weighs 7 kilograms when it is 4 months old.
The cat weighs 4 kilograms when it is 7 months old.
The weight of the cat has been 7 kilograms for 4 months.
The cat weighs 4 kilograms when it is 7 years old.
Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters.
Here is a graph that represents d.
Select all statements in function notation that represent the situation.
d\left(30\right)=d\left(70\right)
d\left(10\right)=20
d\left(90\right)<d\left(160\right)
d\left(0\right)=0
d\left(0\right)=170
d\left(170\right)=0
A ball bounces several times after it is dropped. The graph shows the height of the ball over time.
Height is measured in meters and time is measured in seconds.
Select all statements that are true about the graph and the situation it represents.
The vertical intercept shows the time when the ball hits the ground.
The vertical intercept shows when the ball is dropped.
The function reaches its maximum value after the first bounce.
The function has the maximum value at the vertical intercept.
The horizontal intercepts of the graph show the times when the ball hit the ground.
The function has no minimum value.
There are multiple times when the function is at its minimum value.
Function p represents the number of people in the library on a Monday as a function of hours since the library opened.
Here is the graph of function p.
Based on the graph and the situation, which domain and range make sense for function p?
Domain: all numbers from 0 to 85. Range: all numbers from 0 to 14.
Domain: whole numbers only from 0 to 14. Range: whole numbers only from 0 to 85.
Domain: all numbers from 0 to 14. Range: whole numbers only from 0 to 85.
Domain: whole numbers only from 0 to 14. Range: all numbers from 0 to 85.
Here is a pattern of squares. S represents the number of small squares in the pattern as a function of n, the step number.
Which expression could define S?
An orange is shot up into the air with a catapult. The function h given by h\left(t\right)=15+60t-16t^{2} models the orange’s height, in feet, t seconds after it was launched.
Select all the true statements about the situation.
The domain of function h only contains values greater than or equal to 0.
The orange is at the same height 1 second after launch and 2 seconds after launch.
The orange has hit the ground at 3 seconds.
The orange is 15 feet above the ground when it is launched.
The value t=10 does not belong to the domain of h.
Select all expressions that are equivalent to \left(2n+6\right)\left(n+3\right).
2\left(n^{2}+6n+9\right)
2n^{2}+6n+18
2n^{2}+12n+18
12n+18
2\left(n+3\right)\left(n+3\right)
2\left(n+3\right)^{2}
The function f is given by f\left(x\right)=x^{2}-2x.
Which statement is true about the graph of f?
The graph has a y-intercept at (2,0).
The coordinates of the vertex are (1,1).
The graph of the function opens downward.
The
x-intercepts are at (0,0) and (2,0).
Here is the graph of a quadratic function f.
Select all equations that could define the function f.
f\left(x\right)=-x^{2}+8x-12
f\left(x\right)=x^{2}-8x+12
f\left(x\right)=\left(x+2\right)\left(x+6\right)
f\left(x\right)=\left(x-4\right)^{2}+4
f\left(x\right)=\left(x-4\right)^{2}-4
f\left(x\right)=\left(x-2\right)\left(x-6\right)
A quadratic function f is given by f\left(x\right)=ax^{2}+bx+c where a is not 0.
Select all the statements that must be true about the graph of f.
The y-intercept of the graph is at (0,c).
The graph has an x-intercept at (c,0).
When a<0 the graph opens downward.
The graph has two x-intercepts.
If b=0, then the vertex is on the y-axis.
Select all equations that have two solutions.
Here is a graph of the equation
Which statement is true about the solutions to the equation
?
The equation has no solution.
The equation has one solution: 5.
The equation has two solutions: -2 and 0.
The equation has infinitely many solutions.
Select all expressions that could be equivalent to