function notation practice
example: find f(8) when f(x) = 2x - 3.
f(8) = 2(8) - 3
f(8) = 16 - 3
f(8) = 13

now you try!
1. use g(x) = 5x + 4 to evaluate the following.
a. g(1)
b. g(2)
c. g(3)
d. g(-4)
e. g(-10)
f. g(0)

2. use h(x) = -2x + 9 to evaluate the following.
a. h(-1)
b. h(-2)
c. h(-3)
d. h(0)
e. h(12)
f. h(½)

3. use f(x) = ½x - 2 to evaluate the following.
a. f(2)
b. f(4)
c. f(8)
d. f(0)
e. f(-8)
f. f(-12)

Question

function notation practice
example: find f(8) when f(x) = 2x - 3.
f(8) = 2(8) - 3
f(8) = 16 - 3
f(8) = 13

now you try!
1. use g(x) = 5x + 4 to evaluate the following.
   a. g(1)
   b. g(2)
   c. g(3)
   d. g(-4)
   e. g(-10)
   f. g(0)

2. use h(x) = -2x + 9 to evaluate the following.
   a. h(-1)
   b. h(-2)
   c. h(-3)
   d. h(0)
   e. h(12)
   f. h(½)

3. use f(x) = ½x - 2 to evaluate the following.
   a. f(2)
   b. f(4)
   c. f(8)
   d. f(0)
   e. f(-8)
   f. f(-12)

Accepted Answer

### 1. a. Evaluate $ g(1) $ when $ g(x) = 5x + 4 $
# Explanation:
## Step1: Substitute $ x = 1 $ into $ g(x) $
$ g(1) = 5(1) + 4 $
## Step2: Simplify the expression
$ g(1) = 5 + 4 = 9 $
# Answer:
$ 9 $

### 1. b. Evaluate $ g(2) $ when $ g(x) = 5x + 4 $
# Explanation:
## Step1: Substitute $ x = 2 $ into $ g(x) $
$ g(2) = 5(2) + 4 $
## Step2: Simplify the expression
$ g(2) = 10 + 4 = 14 $
# Answer:
$ 14 $

### 1. c. Evaluate $ g(3) $ when $ g(x) = 5x + 4 $
# Explanation:
## Step1: Substitute $ x = 3 $ into $ g(x) $
$ g(3) = 5(3) + 4 $
## Step2: Simplify the expression
$ g(3) = 15 + 4 = 19 $
# Answer:
$ 19 $

### 1. d. Evaluate $ g(-4) $ when $ g(x) = 5x + 4 $
# Explanation:
## Step1: Substitute $ x = -4 $ into $ g(x) $
$ g(-4) = 5(-4) + 4 $
## Step2: Simplify the expression
$ g(-4) = -20 + 4 = -16 $
# Answer:
$ -16 $

### 1. e. Evaluate $ g(-10) $ when $ g(x) = 5x + 4 $
# Explanation:
## Step1: Substitute $ x = -10 $ into $ g(x) $
$ g(-10) = 5(-10) + 4 $
## Step2: Simplify the expression
$ g(-10) = -50 + 4 = -46 $
# Answer:
$ -46 $

### 1. f. Evaluate $ g(0) $ when $ g(x) = 5x + 4 $
# Explanation:
## Step1: Substitute $ x = 0 $ into $ g(x) $
$ g(0) = 5(0) + 4 $
## Step2: Simplify the expression
$ g(0) = 0 + 4 = 4 $
# Answer:
$ 4 $

### 2. a. Evaluate $ h(-1) $ when $ h(x) = -2x + 9 $
# Explanation:
## Step1: Substitute $ x = -1 $ into $ h(x) $
$ h(-1) = -2(-1) + 9 $
## Step2: Simplify the expression
$ h(-1) = 2 + 9 = 11 $
# Answer:
$ 11 $

### 2. b. Evaluate $ h(-2) $ when $ h(x) = -2x + 9 $
# Explanation:
## Step1: Substitute $ x = -2 $ into $ h(x) $
$ h(-2) = -2(-2) + 9 $
## Step2: Simplify the expression
$ h(-2) = 4 + 9 = 13 $
# Answer:
$ 13 $

### 2. c. Evaluate $ h(-3) $ when $ h(x) = -2x + 9 $
# Explanation:
## Step1: Substitute $ x = -3 $ into $ h(x) $
$ h(-3) = -2(-3) + 9 $
## Step2: Simplify the expression
$ h(-3) = 6 + 9 = 15 $
# Answer:
$ 15 $

### 2. d. Evaluate $ h(0) $ when $ h(x) = -2x + 9 $
# Explanation:
## Step1: Substitute $ x = 0 $ into $ h(x) $
$ h(0) = -2(0) + 9 $
## Step2: Simplify the expression
$ h(0) = 0 + 9 = 9 $
# Answer:
$ 9 $

### 2. e. Evaluate $ h(12) $ when $ h(x) = -2x + 9 $
# Explanation:
## Step1: Substitute $ x = 12 $ into $ h(x) $
$ h(12) = -2(12) + 9 $
## Step2: Simplify the expression
$ h(12) = -24 + 9 = -15 $
# Answer:
$ -15 $

### 2. f. Evaluate $ h(\frac{1}{2}) $ when $ h(x) = -2x + 9 $
# Explanation:
## Step1: Substitute $ x = \frac{1}{2} $ into $ h(x) $
$ h(\frac{1}{2}) = -2(\frac{1}{2}) + 9 $
## Step2: Simplify the expression
$ h(\frac{1}{2}) = -1 + 9 = 8 $
# Answer:
$ 8 $

### 3. a. Evaluate $ f(2) $ when $ f(x) = \frac{1}{2}x - 2 $
# Explanation:
## Step1: Substitute $ x = 2 $ into $ f(x) $
$ f(2) = \frac{1}{2}(2) - 2 $
## Step2: Simplify the expression
$ f(2) = 1 - 2 = -1 $
# Answer:
$ -1 $

### 3. b. Evaluate $ f(4) $ when $ f(x) = \frac{1}{2}x - 2 $
# Explanation:
## Step1: Substitute $ x = 4 $ into $ f(x) $
$ f(4) = \frac{1}{2}(4) - 2 $
## Step2: Simplify the expression
$ f(4) = 2 - 2 = 0 $
# Answer:
$ 0 $

### 3. c. Evaluate $ f(8) $ when $ f(x) = \frac{1}{2}x - 2 $
# Explanation:
## Step1: Substitute $ x = 8 $ into $ f(x) $
$ f(8) = \frac{1}{2}(8) - 2 $
## Step2: Simplify the expression
$ f(8) = 4 - 2 = 2 $
# Answer:
$ 2 $

### 3. d. Evaluate $ f(0) $ when $ f(x) = \frac{1}{2}x - 2 $
# Explanation:
## Step1: Substitute $ x = 0 $ into $ f(x) $
$ f(0) = \frac{1}{2}(0) - 2 $
## Step2: Simplify the expression
$ f(0) = 0 - 2 = -2 $
# Answer:
$ -2 $

### 3. e. Evaluate $ f(-8) $ when $ f(x) = \frac{1}{2}x - 2 $
# Explanation:
## Step1: Substitute $ x = -8 $ into $ f(x) $
$ f(-8) = \frac{1}{2}(-8) - 2 $
## Step2: Simplify the expression
$ f(-8) = -4 - 2 = -6 $
# Answer:
$ -6 $

### 3. f. Evaluate $ f(-10) $ when $ f(x) = \frac{1}{2}x - 2 $
# Explanation:
## Step1: Substitute $ x = -10 $ into $ f(x) $
$ f(-10) = \frac{1}{2}(-10) - 2 $
## Step2: Simplify the expression
$ f(-10) = -5 - 2 = -7 $
# Answer:
$ -7 $

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QUESTION IMAGE

Question

Explanation:

1. a. Evaluate \( g(1) \) when \( g(x) = 5x + 4 \)

Step1: Substitute \( x = 1 \) into \( g(x) \)

Step2: Simplify the expression

Step1: Substitute \( x = 2 \) into \( g(x) \)

Step2: Simplify the expression

Step1: Substitute \( x = 3 \) into \( g(x) \)

Step2: Simplify the expression

Answer:

1. b. Evaluate \( g(2) \) when \( g(x) = 5x + 4 \)