To vertically strech a function, f(x) by a factor of c, that is cf(x)

so strech vertically by 2 means times whole thing by 2
so
2 times (4x^2-5) =8x^2-10

g(x)=8x^2-10

5 0

3 years ago

Which function represents exponential decay? f(x) = One-half (three-halves) Superscript x f(x) = One-half (negative three-halves

viva [34]

Answer:

$f(x) = 4(\frac{2}{3})^{x}$

Step-by-step explanation:

The first function is given as, $f(x) = \frac{1}{2}(\frac{3}{2})^{x}$ .

Now, the value of this function increases i.e. value of f(x) increases as the x-value increases because $\frac{3}{2} > 1$ .

Now, the second function is given as, $f(x) = \frac{1}{2}(- \frac{3}{2} )^{x}$ .

This function can not be considered as a continuous function because $- \frac{3}{2} < 0$ .

Again, the third function is given as, $f(x) = 4(- \frac{2}{3})^{x}$ .

This function can also not be considered as a continuous function because $- \frac{2}{3} < 0$ .

Finally, the fourth function is given to be, $f(x) = 4(\frac{2}{3})^{x}$ .

In this function, the value of f(x) continuously decreases as the value of x increases, because $0 < \frac{2}{3} < 1$ .

Therefore, this function represents exponential decay. (Answer)

10 0

3 years ago

Read 2 more answers

(2 Fruit juice A is composed of 2 parts apple juice and 1 part grape juice.

Elenna [48]

The amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

<h3>How to Solve Algebra Word Problems?</h3>

The concentrations of apple and grape juice in the two different juice types are given as;

Juice A:

(2/3) apple

(1/3) grape

Juice B:

(1/3) apple

(2/3) grape

Let a be how much juice A is in the mixture;

Let b be how much juice B is in the mix.

Thus;

²/₃a + ¹/₃b = 10 ------(eq 1)

¹/₃a + ²/₃b = 8 ------(eq 2)

Solving both equations simultaneously gives us;

a = 12 and b = 6

Thus, the amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

Read more about Algebra Word Problems at; brainly.com/question/13818690

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5 0

10 months ago