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

The function f(x) is shown on the graph.

The graph shows three pieces of f of x. One piece is curved in quadrant three increasing from the left and turning at approximately negative 3.8 comma negative 5.5 to then decreases and is asymptotic to the line x equals negative 2. Another piece is an upward opening u-shaped curve, which is asymptotic to the line x equals negative 2 and x equals 2 with a minimum at approximately negative 0.3 comma 2.4 3.24. Another piece is asymptotic to the line x equals 2 and is increasing from the left and passes through the point 3 comma 2 and continues to increase in quadrant one.

Which type of function describes f(x)?

Exponential
Logarithmic
Polynomial
Rational
Question 2(Multiple Choice Worth 2 points)
(07.04 MC)


The table of values represents a continuous function.


x

–3

–1

1

3

5

7

9

g(x)

0.375

0.75

1.5

3

6

12

24



Which type of function describes g(x)?
Exponential
Logarithmic
Polynomial
Rational
Question 3(Multiple Choice Worth 2 points)
(07.04 MC)

Which of the following is an example of a polynomial function?

f(x) = 5x3 + 2x2 – 6x + 7
g of x equals the quantity x squared plus 2x minus 3 end quantity divided by the quantity x minus 4 end quantity
h(x) = 750(1.04)x
p(x) = log3(x)2
Question 4(Multiple Choice Worth 2 points)
(07.04 MC)

Given a polynomial function f(x) = 2x2 + 7x + 6 and an exponential function g(x) = 2x + 5, what key features do f(x) and g(x) have in common?

Both f(x) and g(x) increase over the interval of [–4 , ∞)
Both f(x) and g(x) have the same x-intercepts of (–2, 0) and (–1.5, 0).
Both f(x) and g(x) have the same y-intercept of (0, 6).
Both f(x) and g(x) have the same range of (–∞, 0].
Question 5(Multiple Choice Worth 2 points)
(07.04 MC)

What key features do the functions f(x) = 4-x and g of x equals negative one times the square root of the x minus 4 end root have in common?

Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.
Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).
Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.
Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions are negative for the entire domain.

Sagot :

MrRoyal

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

2. The type of function g(x)

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.

3. Example of a polynomial function

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

4. Key features in the functions

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

Questions 1 and 5 are not properly presented

Read more about exponential functions at:

https://brainly.com/question/12940982

Read more about polynomial functions at:

https://brainly.com/question/2833285

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