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4 years ago

What is the x-intercept of the continuous function shown in the table? (0, –8) (0, 2) (–8, 0) (2, 0)

Mathematics

2 answers:

Katyanochek1 [597]4 years ago

5 0

Answer:

Option 4th is correct

The x-intercept of the continuous function shown in the table is, (2, 0)

Step-by-step explanation:

x-intercept states that the graph cross the x-axis.

i.e, substitute f(x)= 0 and solve for x.

As per the statement:

You can see the values of x and f(x) from the given table.

An ordered pairs is in the form of (x, f(x)).

By x-intercept definition;

at x =2

⇒ f(x) = 0

Therefore, the x-intercept of the continuous function shown in the table is, (2, 0)

Misha Larkins [42]4 years ago

3 0

we know that

The x-intercept is the value of x when the value of the function f(x) is equal to zero

see the table

For $x=2$

$f(x)=0$

therefore

the answer is the point $(2,0)$

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General form of an exponential function: $y=ab^x$

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a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
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y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

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Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

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Therefore, product A is increasing by 3% each year.

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Check using different two consecutive values of f(t):

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Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

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To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

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$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

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