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Activity 6: Investigating Compound Functions
Technical Note: Students click the graph to continue
Click the graph to continue
Activity 6: Investigating Compound Functions
Technical Note: Students click the section they want to practice
Identifying Compound Functions
Matching The Compound Function to
a Graph
h(x) = f(x) + g(x)
Select one of the following options by clicking:
Activity 6: Investigating Compound Functions
SOLUTIONh(x) = f(x) + g(x)
Select the two general functions that make up the graph to the left
f(x) Select one Function
Sine/CosineCosecant/SecantLogarithmicExponentialPolynomial Degree 1 Polynomial Degree 2Polynomial Degree 3Polynomial Degree 4Rational
Part 1: Identifying Compound Functions
Compound Functions
g(x) Select one Function
Sine/CosineCosine/SecantLogarithmicExponentialPolynomial Degree 1 Polynomial Degree 2Polynomial Degree 3Polynomial Degree 4Rational
CHECK CORRECT!
h(x) = Sine/Cosine + Polynomial Degree 2
2
81
2cos)( xxxh
VIEW ANSWER
h(x) = Sine/Cosine + Polynomial Degree 2
YOUR FUNCTION
Domain: {x|xεR}
Range: {y≥0}
TRY ANOTHER FUNCTION
HOME SCREEN
Select ONE of the following functions as your first compound function out of two.
Select ONE of the following functions as your second compound function out of two.
THESE ARE TO BE USED IN THE IDENTIFYING FUNCTIONS INTERFACE. THESE ARE THE GRAPHS
AND ANSWERS
SOLUTIONh(x) = f(x) + g(x)
Select the two general functions that make up the graph to the left
Compound Functions
h(x) = sine/cosine + cosecant/secant
xxxh 10sinsec)(
Domain: {x|xεR}
Range: {y≠πk/2, k is odd integers}
SOLUTIONh(x) = f(x) + g(x)
Select the two general functions that make up the graph to the left
Compound Function
h(x) = Polynomial Degree 2 + Exponential
xxxh 421
)( 2
Domain: {x|xεR}
Range:{y≥0.615272}
SOLUTIONh(x) = f(x) + g(x)
Select the two general functions that make up the graph to the left
Compound Functions
h(x) = logarithmic + sine/cosine
xxxh 10sinlog)( 2
Domain: {x|x>0}
Range: {yεR}
SOLUTIONh(x) = f(x) + g(x)
Select the two general functions that make up the graph to the left
Compound Functions
h(x) = Rational + sine/cosine
xx
xh 10cos)4(
1)(
Domain: {x|x≠4,xεR}
Range:{y εR}
SOLUTIONh(x) = f(x) + g(x)
Select the two general functions that make up the graph to the left
Compound Functions
h(x) = cosecant/secant + exponential
xxxh 3.12sec)(
Domain: {y≠πk/4, k is odd integers} Range: {yεR}
SOLUTIONh(x) = f(x) + g(x)
Select the two general functions that make up the graph to the left
Compound Functions
h(x) = Polynomial Degree 3 + sine/cosine
sin10x+4)+5)(x–3)(x+0.1(x)( xh
Domain: {x|xεR}
Range:{y εR}
Activity 6: Investigating Compound Functions
Technical Note: Students click the section they want to practice
Identifying Compound Functions
Matching The Compound Function to
a Graph
h(x) = f(x) + g(x)
Select one of the following options by clicking:
Activity 6: Investigating Compound Functions
Technical Note: 9 functions will be presented here. Students drag the correct function in the box. If students get the correct match CORRECT! Appears to the side of the box. If incorrect, INCORRECT appears to the side of the box. Once they get the function correct a new graph appears at random until all 9 functions are complete.
PART 2:Matching The Compound Function to a Graph
DRAG FUNCTION INTO THIS BOX
CORRECT!
xx
xh sin10
)(2
HOME SCREEN
xxh x 4sin1.1)(
xxxh 2log)(
xx
xh 5cos)2(
1)(
xxxxxxh 5sin)1)(5)(4(3101
)(
xxxh sin4
cos2)(
xxxh 2)( 2
xxxh sin)(
xx
xh sin10
)(2
xxxh 5sinlog)( 2
Technical Note: Students drag one of these functions into the blank box. If CORRECT, the next function appears. If INCORRECT student must drag another function until they are correct
Activity 6: Investigating Compound Functions
Technical Note: 9 functions will be presented here. Students drag the correct function in the box. If students get the correct match CORRECT! Appears to the side of the box. If incorrect, INCORRECT appears to the side of the box. Once they get the function correct a new graph appears at random until all 9 functions are complete.
Matching The Compound Function to a Graph
DRAG FUNCTION INTO THIS BOX
CORRECT!
xx
xh sin10
)(2
HOME SCREEN
xxh x 4sin1.1)(
xxxh 5sinlog)( 2
xxxh 2log)(
xx
xh 5cos)2(
1)(
xxxxxxh 5sin)1)(5)(4(3101
)(
xxxh sin4
cos2)(
xxxh 2)( 2
xxxh sin)(
xxh x 4sin1.1)(
Technical Note: Students drag one of these functions into the blank box. If CORRECT, the next function appears. If INCORRECT student must drag another function until they are correct
Activity 6: Investigating Compound Functions
Technical Note: 9 functions will be presented here. Students drag the correct function in the box. If students get the correct match CORRECT! Appears to the side of the box. If incorrect, INCORRECT appears to the side of the box. Once they get the function correct a new graph appears at random until all 9 functions are complete.
Matching The Compound Function to a Graph
DRAG FUNCTION INTO THIS BOX
CORRECT!
xx
xh sin10
)(2
HOME SCREEN
xxh x 4sin1.1)(
xxxh 2log)(
xx
xh 5cos)2(
1)(
xxxxxxh 5sin)1)(5)(4(3101
)(
xxxh sin4
cos2)(
xxxh 2)( 2
xxxh sin)( xxxh 5sinlog)( 2
xxxh 5sinlog)( 2
Technical Note: Students drag one of these functions into the blank box. If CORRECT, the next function appears. If INCORRECT student must drag another function until they are correct
Activity 6: Investigating Compound Functions
Technical Note: 9 functions will be presented here. Students drag the correct function in the box. If students get the correct match CORRECT! Appears to the side of the box. If incorrect, INCORRECT appears to the side of the box. Once they get the function correct a new graph appears at random until all 9 functions are complete.
Matching The Compound Function to a Graph
DRAG FUNCTION INTO THIS BOX
CORRECT!
xx
xh sin10
)(2
HOME SCREEN
xxh x 4sin1.1)(
xxxh 2log)(
xx
xh 5cos)2(
1)(
xxxxxxh 5sin)1)(5)(4(3101
)(
xxxh sin4
cos2)(
xxxh 2)( 2
xxxh sin)( xxxh 5sinlog)( 2
xxxh 2log)(
Technical Note: Students drag one of these functions into the blank box. If CORRECT, the next function appears. If INCORRECT student must drag another function until they are correct
Activity 6: Investigating Compound Functions
Technical Note: 9 functions will be presented here. Students drag the correct function in the box. If students get the correct match CORRECT! Appears to the side of the box. If incorrect, INCORRECT appears to the side of the box. Once they get the function correct a new graph appears at random until all 9 functions are complete.
Matching The Compound Function to a Graph
DRAG FUNCTION INTO THIS BOX
CORRECT!
xx
xh sin10
)(2
HOME SCREEN
xxh x 4sin1.1)(
xxxh 2log)(
xx
xh 5cos)2(
1)(
xxxxxxh 5sin)1)(5)(4(3101
)(
xxxh sin4
cos2)(
xxxh 2)( 2
xxxh sin)( xxxh 5sinlog)( 2
xx
xh 5cos)2(
1)(
Technical Note: Students drag one of these functions into the blank box. If CORRECT, the next function appears. If INCORRECT student must drag another function until they are correct
Activity 6: Investigating Compound Functions
Technical Note: 9 functions will be presented here. Students drag the correct function in the box. If students get the correct match CORRECT! Appears to the side of the box. If incorrect, INCORRECT appears to the side of the box. Once they get the function correct a new graph appears at random until all 9 functions are complete.
Matching The Compound Function to a Graph
DRAG FUNCTION INTO THIS BOX
CORRECT!
xx
xh sin10
)(2
HOME SCREEN
xxh x 4sin1.1)(
xxxh 2log)(
xx
xh 5cos)2(
1)(
xxxxxxh 5sin)1)(5)(4(3101
)(
xxxh sin4
cos2)(
xxxh 2)( 2
xxxh sin)( xxxh 5sinlog)( 2
xxxxxxh 5sin)1)(5)(4(3101
)(
Technical Note: Students drag one of these functions into the blank box. If CORRECT, the next function appears. If INCORRECT student must drag another function until they are correct
Activity 6: Investigating Compound Functions
Technical Note: 9 functions will be presented here. Students drag the correct function in the box. If students get the correct match CORRECT! Appears to the side of the box. If incorrect, INCORRECT appears to the side of the box. Once they get the function correct a new graph appears at random until all 9 functions are complete.
Matching The Compound Function to a Graph
DRAG FUNCTION INTO THIS BOX
CORRECT!
xx
xh sin10
)(2
HOME SCREEN
xxh x 4sin1.1)(
xxxh 2log)(
xx
xh 5cos)2(
1)(
xxxxxxh 5sin)1)(5)(4(3101
)(
xxxh sin4
cos2)(
xxxh 2)( 2
xxxh sin)( xxxh 5sinlog)( 2
xxxh sin4
cos2)(
Technical Note: Students drag one of these functions into the blank box. If CORRECT, the next function appears. If INCORRECT student must drag another function until they are correct
Activity 6: Investigating Compound Functions
Technical Note: 9 functions will be presented here. Students drag the correct function in the box. If students get the correct match CORRECT! Appears to the side of the box. If incorrect, INCORRECT appears to the side of the box. Once they get the function correct a new graph appears at random until all 9 functions are complete.
Matching The Compound Function to a Graph
DRAG FUNCTION INTO THIS BOX
CORRECT!
xx
xh sin10
)(2
HOME SCREEN
xxh x 4sin1.1)(
xxxh 2log)(
xx
xh 5cos)2(
1)(
xxxxxxh 5sin)1)(5)(4(3101
)(
xxxh sin4
cos2)(
xxxh 2)( 2
xxxh sin)( xxxh 5sinlog)( 2
xxxh 2)( 2
Technical Note: Students drag one of these functions into the blank box. If CORRECT, the next function appears. If INCORRECT student must drag another function until they are correct
Activity 6: Investigating Compound Functions
Technical Note: 9 functions will be presented here. Students drag the correct function in the box. If students get the correct match CORRECT! Appears to the side of the box. If incorrect, INCORRECT appears to the side of the box. Once they get the function correct a new graph appears at random until all 9 functions are complete.
Matching The Compound Function to a Graph
DRAG FUNCTION INTO THIS BOX
CORRECT!
xx
xh sin10
)(2
HOME SCREEN
xxh x 4sin1.1)(
xxxh 2log)(
xx
xh 5cos)2(
1)(
xxxxxxh 5sin)1)(5)(4(3101
)(
xxxh sin4
cos2)(
xxxh 2)( 2
xxxh sin)( xxxh 5sinlog)( 2
xxxh sin)(
Technical Note: Students drag one of these functions into the blank box. If CORRECT, the next function appears. If INCORRECT student must drag another function until they are correct
