5.2 Notes
5.2 Practice
Use a graphing calculator or desmos to answer #1 - 6
1. What would be the best description of f (x) = 5 + 2x ?
a. Linear growth
b. Quadratic (local max)
d. Linear decay
e. Quadratic (local min)
c. Exponential growth
f. Exponential decay
2. What would be the best description of ​f(x) = 1 - 5x​2​ + x​?
a. Linear growth
b. Quadratic (local max)
c. Exponential growth
d. Linear decay
e. Quadratic (local min)
f. Exponential decay
3. What would be the best description of​ f(x) = 4x(x + 3)?
a. Linear growth
b. Quadratic (local max)
d. Linear decay
e. Quadratic (local min)
c. Exponential growth
f. Exponential decay
4. What would be the best description of ​f(x) = 2(6x - 5)​?
a. Linear growth
b. Quadratic (local max)
d. Linear decay
e. Quadratic (local min)
c. Exponential growth
f. Exponential decay
5. What would be the best description of f (x) = − 12 x + 4 ?
a. Linear growth
b. Quadratic (local max)
d. Linear decay
e. Quadratic (local min)
c. Exponential growth
f. Exponential decay
x
6. What would be the best description of f (x) = 3( 12 ) + 4 ?
a. Linear growth
b. Quadratic (local max)
d. Linear decay
e. Quadratic (local min)
c. Exponential growth
f. Exponential decay
Based on the partial set of values given for a function, identify the function​ as
a. Linear growth
b. Quadratic (local max)
c. Exponential growth
d. Linear decay
e. Quadratic (local min)
f. Exponential decay
Linear​: The ​first difference​ is a constant rate of change
Quadratic​: The ​second difference​ is a constant rate of change
Exponential​: Each difference is a ​constant multiple of the last
7. __________
x
-2
-1
0
1
2
3
4
y
1.25
2.5
5
10
20
40
80
8.___________
x
-2
-1
0
1
2
3
4
y
18
11
6
3
2
3
6
9. __________
x
-2
-1
0
1
2
3
4
y
4
1
-2
-5
-8
-11
-14
10. __________
x
-2
-1
0
1
2
3
4
y
1
4
5
4
1
-4
-11
11. __________
x
-4
-3
-2
-1
0
1
2
y
13
5
1
-1
-2
-2.5
-2.75
12._________
x
-2
-1
0
1
2
3
4
y
-13
-11
-9
-7
-5
-3
-1
5.2 Notes continued
5.2 Practice continued
Consider the following function: fill in the blank comparing the functions with an
inequality symbol.
1. f(x) __________ g(x)
2. ​ Functions p(x) (line) and h(x) (parabola) are graphed below.
​ For values of x is p(x) > h(x)?
a. x < 2
b. - 2 < x < 2
c. - 1 < x < 2
d. x > - 1
3. ​Functions f(x) and g(x) are graphed below.
For values of x is f(x) < g(x)?
a. x < 0 and x > 2
b. 0 < x < 2
c. - 2 < x < 2
d. x > 0
4. ​Write an ​inequality statement​ for all x of which the function is greater
​ ​
f (x) = x2 + 2
g (x) = 2x − 3
f(x) _______ g(x)