Attributes of Graphs
What is the slope of a horizontal line?
Slope is 0.
Find f(3) if f(x)=2x2-5x+3.
6.
In a right-angled triangle, what is the relationship between the angles and the sides?
The angles are determined by the ratios of the sides.
Find the exact value of sine for an angle of 60°.
sin(60°)=√3/2
How far the function has shifted from the usual position is called?
Phase.
How do you determine the symmetry of a function while looking at its graph?
A function is even if its symmetrical to the y-axis, and odd if its symmetrical across the origin.
What does the notation g-1(x) represent for function g?
It represents the inverse function of g.
In a right triangle, if the length of one leg is 8 inches, and the length of the hypotenuse is 17 inches, what is the cosine of the angle adjacent to the 8 inch leg?
8/17=0.471 inches.
Determine the cosine of the angle whose terminal side is in the third quadrant.
cos(θ)=-√2/2
The period of sine function is what?
2π.
What does the x-intercept on the graph represent?
The x-intercept is where the graph the x-axis, indicating the point y=0.
Solve for x: 4x+7=15.
x=2
In a right triangle, if the length of one leg is 5 meters and the length hypotenuse is 13 meters, what is the sine of the angle opposite the 5 meter leg?
5/13=0.385 meters.
If tan(a)=-√3, find the reference angle B in degrees.
B=30°.
The general form of sine function is?
a sin(bx-c)+d.
A zero on a graph is also known as what?
Intercepts.
If h(x)=1/x, find h(-2).
h(-2)=1/2.
In a right triangle, the length of one leg is 5 units, and the length of the hypotenuse is 13 units. What is the length of the other leg?
12 units.
Calculate the cosecant of a 45° angle.
csc(45°)=√2.
Is sec x even, odd, or neither?
Even.
Define the term asymptote in the context of a graph.
An asymptote is a line that a graph approaches but never intersects.
Given p(x)=x3-2x+1, find p(x).
p(x)=3x2-2.
Imagine a right triangle with an angle measuring 30° and the adjacent side measuring 5 units. Find the length of the opposite side.
2.885 units.
If sec(θ)=-2, find the cosine of the angle.
cos(θ)=-1/2.
Is f(x)=x3 even, odd, or neither?
Odd.