1.1 and 1.3 Lines in a plane with graphs
1.2 Functions
1.4 Transformations
1.5 Combinations of Functions
1.6 Inverse Functions
100
Does this graph represent a function? Explain.
No, it fails the vertical line test.
100
Find the domain of the function:
f(x)=x^2
ARN
100
Describe the transformation of the function with the graph of its parent function.
g(x)=-x
Reflection over either axis
100
Find (f - g)(x)
f(x)=x^2+5
g(x)=sqrt(1-x)
=x^2+5-sqrt(1-x)
100
Is the inverse of the graph a function?
No, fails the horizontal line test.
200
Find the slope-intercept for a line that passes through (2,-1) and (-3,4).
y=-x + 1
200
Find the domain of the function:
f(x)=1/(x+5)
x is not equal to -5
200
Describe the transformation of the function with the graph of its parent function.
g(x)=1/(x+8)-9
Translated left 8 and down 9
200
Find (f (g))(x)
f(x)=2x^2
g(x)=x+4
=2(x+4)^2
200
Find the inverse of the function
f(x)=6x
f^(-1)(x)=x/6
300
Write an equation to a line that passes through (0,4) and is parallel to the line 5x+2y=3.
5x + 2y - 8 = 0
y = (-2/5)x + 4
300
Find the domain of the function
f(x)=10-sqrt(3-x)
x is less than or equal to 3
300
Describe the transformation of the function with the graph of its parent function.
g(x)=3abs(x-2)
Translated 2 right
Vertical stretch by a factor of 3
300
Find (f /g)(x) and state its domain
f(x)=x^2+5
g(x)=sqrt(1-x)
=(x^2+5)/(sqrt(1-x))
domain: x<1
300
Find the inverse of the function
f(x)=sqrt(x-4)
f^(-1)(x)=x^2+4
400
Write an equation to a line that passes through (0,4) and is perpendicular to the line 5x+2y=3.
2x - 5y + 20 = 0
y = (2/5)x + 4
400
Find the domain of the function:
f(x)=(x+2)/(sqrt(x-10
x>10
400
Describe the transformation of the function with the graph of its parent function.
g(x)=-2abs(x-1)-4
Reflection over x-axis
Vertical stretch by a factor of 2
Right 1
Down 4
400
Find (g(f))(x) and state its domain
f(x)=x+4
g(x)=1/(x^2-4)
=1/(x^2+8x+12)
domain ARN besides -6, -2
400
Find the inverse of the function
f(x)=9-x^2
f^(-1)(x)=sqrt(9-x)