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2 years ago

The table of values represents the function g(x) and the graph shows the function f(x).

Mathematics

1 answer:

Tanya [424]2 years ago

7 0

Answer:

B, C

Step-by-step explanation:

x-intercepts are when y=0. f(x) has two x-intercepts at (1, 0) and (5, 0). g(x) also has two x-intercepts; (-3, 0) and (5, 0). So the first one is false, and the second one is true.

The maximum value of f(x) is 2. The maximum value of g(x) is 4. So the third one is true.

The y-intercept is the value of y when x=0. So the y-intercept of f(x) is -1, and the y-intercept of g(x) is 3. So the fourth one is false.

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DanielleElmas [232]

Option A:

$(x-5)^{2}+(y-3)^{2}=16$

Solution:

Given data:

Center of the circle is (5, 3).

Radius of the circle = 4

To find the equation of the circle:

The general form of the equation of a circle in centre-radius format is

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where (h, k) is the centre of the circle and r is the radius of the circle.

Substitute the given values in the equation of a circle formula:

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$(x-5)^{2}+(y-3)^{2}=16$

The equation of the given circle is $(x-5)^{2}+(y-3)^{2}=16$ .

Hence Option A is the correct answer.

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Step-by-step explanation:

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Step-by-step explanation:

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The table of values represents the function ​​ g(x) and the graph shows the function ​f(x)​.

The table of values represents the function g(x) and the graph shows the function f(x).