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Lelechka [254]
2 years ago
15

HELP I NEED THESE FOR TODAY MOST BRAINIEST FOR THE FIRST :)!!

Mathematics
1 answer:
Sati [7]2 years ago
6 0

The table of values of function g(x) and the function f(x) = 5x3 + 2x2 – 6x + 7 are illustrations of exponential functions and polynomial functions

<h3>2. The type of function g(x)</h3>

The values on the table can be represented as:

(x, g(x)) = (-3, 0.375) (-1, 0.75) (1, 1.5) (3, 3) (5, 6) (7,12) (9, 24)

The above values show that as the values of x increases by 2, the values of function g(x) doubles.

Only an exponential function has this property.

Hence, the table of values represents an (a) exponential function.

<h3>3. Example of a polynomial function</h3>

A polynomial function is represented as:

y = ax^n  + bx^n-2 + .......... + d

Using the above format, the function that is a polynomial function is (a) f(x) = 5x3 + 2x2 – 6x + 7

<h3>4. Key features in the functions</h3>

The functions are given as

f(x) = 2x2 + 7x + 6

g(x) = 2x + 5

Set x to 0 to calculate the y-intercept

f(0) = 2(0)2 + 7(0) + 6 = 6

g(x) = 2^0 + 5 = 6

Hence, both functions have the same (c) y-intercept

<em>Questions 1 and 5 are not properly presented</em>

Read more about exponential functions at:

brainly.com/question/12940982

Read more about polynomial functions at:

brainly.com/question/2833285

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Answer:

(a) 3a^4 - 11a^2b^2 -2b^4

(b) 3a^4 - 11a^2b^2 -2b^4= 2

Step-by-step explanation:

Given

(a^4 - 6a^2b^2+ b^4) - (-2a^4+5a^2b^2+ 3b^4)

Solving (a): Simplify

(a^4 - 6a^2b^2+ b^4) - (-2a^4+5a^2b^2+ 3b^4)

Open brackets

a^4 - 6a^2b^2+ b^4 +2a^4-5a^2b^2- 3b^4

Collect Like Terms

a^4 +2a^4- 6a^2b^2-5a^2b^2+ b^4 - 3b^4

Simplify Like Terms

3a^4 - 11a^2b^2 -2b^4

Solving (b): Simplify when a = 2 and b = -1

3a^4 - 11a^2b^2 -2b^4

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48 - 44 - 2

= 2

Hence:

3a^4 - 11a^2b^2 -2b^4= 2

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