Grade 11 Function Notation Quiz

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1. Evaluate f(x) = –3x + 7 if x = – 2

Explanation

By substituting x = -2 into the given function f(x) = -3x + 7, we can evaluate the expression. Plugging in -2 for x, we have -3(-2) + 7. Simplifying this, we get 6 + 7 = 13. Therefore, the value of f(x) when x = -2 is 13.

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About This Quiz
Grade 11 Function Notation Quiz - Quiz

How good are you at function notations? Have you practiced it well? Take this grade 11 function notation quiz to check your understanding and practice of this math... see moreconcept. If you wish to practice, even then, you will find this quiz helpful, as you will get instant answers here. So, go for it, and take the quiz. Try to get the maximum answers in one go. All the best for a perfect score on this quiz. Do share it with others also.
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2.
The graph of y = f(x) is shown.  Evaluate f(2)

Explanation

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3. Evaluate f(6) for {(0,6), (3, 12), (6, 54), (2,6)}

Explanation

The given set of points represents a function where the x-coordinate corresponds to the input and the y-coordinate corresponds to the output. By looking at the set of points, we can see that when x=6, the corresponding y-value is 54. Therefore, when evaluating f(6), the output is 54.

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4. If the point (–2,–3) is on the graph of y=f(x), what is the value of f(–2)?

Explanation

Since the point (-2,-3) lies on the graph of y=f(x), it means that when x=-2, y=-3. Therefore, the value of f(-2) is -3.

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5.
The relation between the selling price of a toothbrush and revenue, r(s) is represented by the function r(s) = –5s^2 + 20s + 25 and its graph above If r(s) = 45, what is the selling price, s?

Explanation

The given equation represents the revenue, r(s), as a function of the selling price, s, of a toothbrush. The equation is r(s) = –5s^2 + 20s + 25. To find the selling price when the revenue is 45, we set r(s) equal to 45 and solve for s.
45 = –5s^2 + 20s + 25
Subtracting 45 from both sides, we get
0 = –5s^2 + 20s - 20
Dividing through by -5, we have
0 = s^2 - 4s + 4
Factoring the quadratic equation, we get
0 = (s - 2)(s - 2)
This gives us the solution s = 2. Therefore, the selling price is $2.

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6. The sum of two whole numbers is 16.  Their product can be modeled by the function g(x) = x(16–x).  What is the largest product?

Explanation

The function g(x) = x(16-x) represents the product of two whole numbers whose sum is 16. To find the largest product, we need to find the maximum value of the function. By analyzing the function, we can see that the product is maximized when x is equal to half of the sum (16/2 = 8). Plugging in x=8 into the function, we get g(8) = 8(16-8) = 8(8) = 64. Therefore, the largest product is 64.

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7. A car salesman is paid a commission based on the function f(p) = –0.002p + 100 where p is the sale price of a vehicle.  How much will be earn from a car that sells for $15000?

Explanation

The car salesman is paid a commission based on the function f(p) = –0.002p + 100, where p is the sale price of a vehicle. To find out how much he will earn from a car that sells for $15000, we substitute p = 15000 into the function. f(15000) = –0.002(15000) + 100 = -30 + 100 = 70. Therefore, the car salesman will earn $70 from a car that sells for $15000. However, none of the given answer choices match this calculation, so the correct answer is not available.

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8. For a function f(5) = –1, what does f(5) represent?

Explanation

The given function f(5) = -1 represents the y-coordinate of the point. In a function, the value of f(x) represents the y-coordinate of the point on the graph of the function when x is equal to the given value. In this case, when x is equal to 5, the y-coordinate is -1. Therefore, f(5) represents the y-coordinate of the point.

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9. If f(x) = 2x - 5, what is the value of f(4)?

Explanation

To find f(4), we substitute 4 for x in the function's formula:

f(4) = 2(4) - 5

f(4) = 8 - 5

f(4) = 3

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10. A function g is defined by g(x)= x^2 – 9x + 18.  Evaluate g(2n)

Explanation

The given function g(x) is defined as g(x) = x^2 - 9x + 18. To evaluate g(2n), we substitute 2n in place of x in the function.

g(2n) = (2n)^2 - 9(2n) + 18
= 4n^2 - 18n + 18

Therefore, the correct answer is 4n^2 - 18n + 18.

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Evaluate f(x) = –3x + 7 if x = – 2
The graph of y = f(x) is shown.  Evaluate f(2)
Evaluate f(6) for {(0,6), (3, 12), (6, 54), (2,6)}
If the point (–2,–3) is on the graph of y=f(x), what is the value...
The relation between the selling price of a toothbrush and revenue,...
The sum of two whole numbers is 16.  Their product can be modeled...
A car salesman is paid a commission based on the function f(p) =...
For a function f(5) = –1, what does f(5) represent?
If f(x) = 2x - 5, what is the value of f(4)?
A function g is defined by g(x)= x^2 – 9x + 18.  Evaluate g(2n)
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