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3 years ago

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What is the range of the exponential function shown below f(x)=2•7^x

1 answer:

Gemiola [76]3 years ago

4 0

This is rather a sneaky question. You don't know exactly what numbers you can use and what numbers not.

For example, are you allowed to use x = - 3. The answer is yes

f(-3) = 2*7^(-3) = 2/7^3 = 2/147.

How about 0? If there is going to be a problem, zero is usually the number that causes the problem.

f(0) = 2*7^(0) = 2 * 1 = 2 and in this case 0 is just fine.

How about positive numbers? No they are all good.

So the range is -∞ < y < ∞

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QUESTION 3

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$\Rightarrow m$ .

But the two remaining opposite angles of the kite are congruent.

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$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

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QUESTION 5

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The base angles of an isosceles trapezium are equal.

Therefore $m$

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

$m$

$\Rightarrow m$

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QUESTION 7

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$\Rightarrow 48\degree +110\degree+m$ .

$\Rightarrow 158\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 8

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The length of BC can also be found using Pythagoras Theorem;

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$\Rightarrow |BC|^2=16+49$

$\Rightarrow |BC|^2=65$

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QUESTION 9.

The sum of the interior angles of a trapezium is $360\degree$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the measure of angle M and K are congruent.

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

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