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
so, when you simplify it according to the characteristics of a and b, you would end up in the similar form of the equation given