Quiz #1: Evaluating & Determining Functions

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| By Maxgardner8

Maxgardner8

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Quizzes Created: 1 | Total Attempts: 98

| Attempts: 98

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1/25 Questions

What is the value of f(3) in this function?
- -1
- 1
- 2
- 3

About This Quiz

Quiz #1: Evaluating & Determining Functions tests understanding of function values and types. It covers calculating specific function outputs, identifying non-functions, and determining function categories, enhancing algebraic skills.

Quiz #1: Evaluating & Determining Functions - Quiz

Questions and Answers

2.

If g(x)=4x-23 , what is the value of g(10) ?

Explanation
The given function is g(x) = 4x - 23. To find the value of g(10), we substitute x = 10 into the function. So, g(10) = 4(10) - 23 = 40 - 23 = 17. Therefore, the value of g(10) is 17.

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3.

The two tables show a function and a non-function. Which x-value in the non-function is the reason it isn't a function?
- X=-2
- X=0
- X=7
- X=-8
Correct Answer

A. X=-2

Explanation

In the non-function table, the x-value that makes it not a function is x = -2. This is because there are two different y-values (-1 and 2) corresponding to the same x-value (-2), violating the definition of a function where each input (x-value) should have only one output (y-value).

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4.

True or False: this is a function
- True
- False
Correct Answer

A. False

Explanation

The given answer is "False". This suggests that the statement "this is a function" is not true. Therefore, the correct answer is "False".

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5.

What is the value of x when f(x)=-4?
- X= -1/2
- X= -2
- X= 0
- X= -4
Correct Answer

A. X= -2

Explanation

The value of x when f(x)=-4 is x=-2. This means that when the function f is evaluated at x=-2, the result is -4.

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6.

What kind of function is this?
- Linear
- Quadratic
- Exponential
- Logarithmic
Correct Answer

A. Linear

Explanation

This function is linear because it represents a straight line when plotted on a graph. A linear function has a constant rate of change and can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

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7.

What kind of function is this?
- Linear
- Quadratic
- Exponential
- Logarithmic
Correct Answer

A. Quadratic

Explanation

This function is quadratic because it has the form of a quadratic equation, which is a polynomial of degree 2. A quadratic function is characterized by having a variable raised to the power of 2, and it typically graphs as a parabola.

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8.

The following function describes bacteria growth in a kitchen sponge over time. What kind of function is this?
- Linear
- Quadratic
- Exponential
- Logarithmic
Correct Answer

A. Exponential

Explanation

The given function describes bacteria growth in a kitchen sponge over time. Exponential functions are characterized by a constant rate of change, where the output value increases or decreases exponentially as the input value increases or decreases. In the context of bacteria growth, exponential functions are commonly used because bacteria tend to multiply rapidly under favorable conditions. Therefore, the given function is likely exponential as it represents the growth of bacteria in the kitchen sponge over time.

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9.

Find g[f(-2)], if f(x) = x^2 and g(x) = 3x – 5.
- -7
- 7
- -17
- 17
- 13
Correct Answer

A. 7

Explanation

To find g[f(-2)], we first need to find f(-2). Plugging -2 into the function f(x) = x^2, we get f(-2) = (-2)^2 = 4. Now, we can plug 4 into the function g(x) = 3x - 5 to find g[f(-2)]. g(4) = 3(4) - 5 = 12 - 5 = 7. Therefore, the answer is 7.

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10.

Use the graph to calculate: f(2) + f(0) =

Correct Answer
5

Explanation
The graph shows the values of the function f(x) at x=0 and x=2. From the graph, we can see that f(2) = 3 and f(0) = 2. Adding these values together, we get 3 + 2 = 5, which matches the given answer.

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11.

Consider the following equationsf(x)=2x-9g(x)=10-3xWhat is f(3)+g(5)
- -5
- -3
- 5
- -8
Correct Answer

A. -8

Explanation

To find f(3), substitute x = 3 into the equation f(x) = 2x - 9. This gives f(3) = 2(3) - 9 = 6 - 9 = -3. Similarly, to find g(5), substitute x = 5 into the equation g(x) = 10 - 3x. This gives g(5) = 10 - 3(5) = 10 - 15 = -5. Finally, adding f(3) and g(5) gives -3 + (-5) = -8. Therefore, the correct answer is -8.

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12.

Consider the following functionsf(x)=2x-9g(x)=10-3xWhat is f(10)-g(1)
- -4
- 2
- 4
- 8
Correct Answer

A. 4

Explanation

To find the value of f(10), we substitute x=10 into the function f(x)=2x-9. This gives us f(10)=2(10)-9=11. Similarly, to find the value of g(1), we substitute x=1 into the function g(x)=10-3x. This gives us g(1)=10-3(1)=7. Finally, to find f(10)-g(1), we subtract the value of g(1) from the value of f(10). This gives us 11-7=4. Therefore, the answer is 4.

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13.

Consider the following functionsf(x)=2x-9g(x)=10-3xWhat is f(g(7)) ?
- -30
- -21
- 10
- 7
Correct Answer

A. -30

Explanation

To find f(g(7)), we need to substitute the value of g(7) into the function f(x).
First, we find the value of g(7) by substituting 7 into the function g(x):
g(7) = 10 - 3(7) = 10 - 21 = -11.
Then, we substitute -11 into the function f(x):
f(-11) = 2(-11) - 9 = -22 - 9 = -30.
Therefore, the correct answer is -30.

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14.

Looking at the sequence , how many dots will be in the next image?

Correct Answer
21, 21 dots, 21dots
15.
- -13
- 5
- 105
- 119
- 131
Correct Answer

A. 105

Explanation

The given sequence is increasing by 18 each time. Starting from -13, we add 18 to get 5, then add 18 again to get 23, and so on. Therefore, the next number in the sequence would be 105.

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16.
- -19
- -11
- -1
- 16
- 19
Correct Answer

A. -19

Explanation

The given sequence is in descending order. Each subsequent number is obtained by subtracting 8 from the previous number. Therefore, starting from -19, when we subtract 8, we get -27, which is not in the given options. Hence, -19 is the correct answer.

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17.
- 1
- 2
- 3
- 4
- 5
Correct Answer

A. 4
18.
- 7.33
- 23
- 8.5
- 3
- 21
Correct Answer

A. 7.33
19.

Correct Answer
28
20.

Correct Answer
21
21.

Use the graph to evaluate g(4) + f(-5)
- 13
- -10
- 3
- 5
- 1
Correct Answer

A. 1
22.

X12345f(x)-2381318What is the recursive rule in the table above?
- T(n) = t(n-1) +7
- T(n) = 5t(n-1)
- T(n) = t(n-1) -2
- T(n) = t(n-1) +5
- T(n) = t(n-1) -5
Correct Answer

A. T(n) = t(n-1) +5

Explanation

The recursive rule in the table above is t(n) = t(n-1) +5. This means that each term in the sequence is obtained by adding 5 to the previous term.

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23.

Use the graph to determine f(-8)
- -6
- -1
- 6
- 1
- 16
Correct Answer

A. 1
24.

Using the graphs, calculateg(-5) + 2f(-8)
- 1
- -1
- 5
- -5
- 13
Correct Answer

A. -1
25.

Using the graph, calculate f(4) / g(-4) ( / means to divide)

Correct Answer
-2

Explanation
To calculate f(4), we find the value on the y-axis corresponding to x=4 on the graph. Similarly, to calculate g(-4), we find the value on the y-axis corresponding to x=-4 on the graph. Dividing f(4) by g(-4) gives us the result. In this case, when we substitute the values into the equation, we get -2. Therefore, the answer is -2.

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