3. the effect of ph on the action of a certain enzyme is shown on the accompanying graph.
what is the domain of this function?
①) 4 ≤ x ≤ 13
2) 4 ≤ y ≤ 13
3) x ≥ 0
4) y ≥ 0

4. what is the range of the function shown below?
1) x ≤ 0
2) x ≥ 0
3) y ≤ 0
4) y ≥ 0

5. the graph below shows the average price of gasoline, in dollars, for the years 1997 to 2007.
what is the approximate range of this graph?
1) 1997 ≤ x ≤ 2007
2) 1999 ≤ x ≤ 2007
3) 0.97 ≤ y ≤ 2.38
4) 1.27 ≤ y ≤ 2.38

6. the air temperature in dallas, texas, over a 5 - hour period is shown in the accompanying graph.
what is the range of this set of data?
1) 0 ≤ x ≤ 5
2) 56 ≤ x ≤ 70
3) 0 ≤ y ≤ 80
4) 56 ≤ y ≤ 70

7. the diagram below shows the graph of h(t), which models the height, in feet, of a rocket t seconds after it was shot into the air.
the domain of h(t) is
the range of h(t) is

8. the graph of the function f(x) = √(x + 4) is shown below.
the domain of the function is:
1) {x | x 0}
2) {x | x ≥ 0}
3) {x | x - 4}
4) {x | x ≥ - 4}
the range of the function is:
1) {y | y 0}
2) {y | y ≥ 0}
3) {y | y 2}
4) {y | y ≥ 2}

Question

3. the effect of ph on the action of a certain enzyme is shown on the accompanying graph.
what is the domain of this function?
①) 4 ≤ x ≤ 13
2) 4 ≤ y ≤ 13
3) x ≥ 0
4) y ≥ 0

4. what is the range of the function shown below?
1) x ≤ 0
2) x ≥ 0
3) y ≤ 0
4) y ≥ 0

5. the graph below shows the average price of gasoline, in dollars, for the years 1997 to 2007.
what is the approximate range of this graph?
1) 1997 ≤ x ≤ 2007
2) 1999 ≤ x ≤ 2007
3) 0.97 ≤ y ≤ 2.38
4) 1.27 ≤ y ≤ 2.38

6. the air temperature in dallas, texas, over a 5 - hour period is shown in the accompanying graph.
what is the range of this set of data?
1) 0 ≤ x ≤ 5
2) 56 ≤ x ≤ 70
3) 0 ≤ y ≤ 80
4) 56 ≤ y ≤ 70

7. the diagram below shows the graph of h(t), which models the height, in feet, of a rocket t seconds after it was shot into the air.
the domain of h(t) is
the range of h(t) is

8. the graph of the function f(x) = √(x + 4) is shown below.
the domain of the function is:
1) {x | x > 0}
2) {x | x ≥ 0}
3) {x | x > - 4}
4) {x | x ≥ - 4}
the range of the function is:
1) {y | y > 0}
2) {y | y ≥ 0}
3) {y | y > 2}
4) {y | y ≥ 2}

Accepted Answer

### Question 3
# Explanation:
## Step1: Recall domain definition
Domain is the set of all x - values (input values) for a function. For the enzyme - pH graph, the x - axis represents pH.
From the graph, the pH (x - values) starts at 4 and goes up to 13. So the domain is the set of x - values where $4\leq x\leq13$.
# Answer:
1) $4\leq x\leq13$

### Question 4
# Explanation:
## Step1: Recall range definition
Range is the set of all y - values (output values) for a function. Looking at the graph, the y - values of the function are all less than or equal to 0 (since the graph is below or on the x - axis). So the range is $y\leq0$.
# Answer:
3) $y\leq0$

### Question 5
# Explanation:
## Step1: Recall range definition for a real - world graph
The range of a graph representing the price of gasoline (y - axis is price in dollars) is the set of all possible y - values (prices). From the graph, we can see that the minimum price (y - value) is approximately 1.27 and the maximum is approximately 2.38. So the range is $1.27\leq y\leq2.38$.
# Answer:
4) $1.27\leq y\leq2.38$

### Question 6
# Explanation:
## Step1: Recall range definition for temperature - time graph
The range of a graph representing air temperature (y - axis is temperature in $^{\circ}F$) is the set of all possible y - values (temperatures). From the graph, the minimum temperature is 56 $^{\circ}F$ and the maximum is 70 $^{\circ}F$. So the range is $56\leq y\leq70$.
# Answer:
4) $56\leq y\leq70$

### Question 7
#### Domain of $h(t)$
# Explanation:
## Step1: Recall domain definition for a time - height graph
The domain of $h(t)$ (where t is time in seconds) is the set of all t - values. From the graph, t starts at 0 seconds and goes up to 4 seconds (since the rocket lands at t = 4). So the domain is $0\leq t\leq4$ or in terms of the variable t, the domain of $h(t)$ is $\{t|0\leq t\leq4\}$ (or $0\leq t\leq4$).
#### Range of $h(t)$
# Explanation:
## Step1: Recall range definition for a height - time graph
The range of $h(t)$ (where h(t) is height in feet) is the set of all h(t) - values. From the graph, the height starts at 0 feet (when t = 0) and goes up to 64 feet (at the peak) and then back to 0. So the range is $0\leq h(t)\leq64$ (or $\{h(t)|0\leq h(t)\leq64\}$).
# Answer:
Domain of $h(t)$: $0\leq t\leq4$
Range of $h(t)$: $0\leq h(t)\leq64$

### Question 8
#### Domain of $f(x)=\sqrt{x + 4}$
# Explanation:
## Step1: Recall domain of square - root function
For a square - root function $y=\sqrt{u}$, the expression inside the square root ($u$) must be non - negative. So for $f(x)=\sqrt{x + 4}$, we need $x + 4\geq0$.
## Step2: Solve the inequality
Solving $x+4\geq0$, we subtract 4 from both sides: $x\geq - 4$. So the domain is $\{x|x\geq - 4\}$.
#### Range of $f(x)=\sqrt{x + 4}$
# Explanation:
## Step1: Recall range of square - root function
The square - root function $y = \sqrt{u}$ (where $u=x + 4\geq0$) has a range of $y\geq0$ because the square root of a non - negative number is non - negative. When $x=-4$, $f(-4)=\sqrt{-4 + 4}=0$, and as x increases, $f(x)$ also increases. So the range is $\{y|y\geq0\}$.
# Answer:
Domain: 4) $\{x|x\geq - 4\}$
Range: 2) $\{y|y\geq0\}$

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QUESTION IMAGE

Question

Explanation:

Question 3

Step1: Recall domain definition

Step1: Recall range definition

Step1: Recall range definition for a real - world graph

Answer:

Question 4