Question

5. Use the information to answer the following question.The quadratic function f is represented by the equallon f(x) = x2 - +5.The table gives some of the values of the exponential function g.X- 1o123g(x)124816Which of the following statements is TRUEa. The y-Intercept of g(x) is greater than the y-intercept of f(x).b. The functions f(x) and g(x) have the same value at x = 1.c. Both functions have a domain of all real numbers.d. f(3) > g(3)

Answer 1

Substitute 0 for x in the equation to determine the y-intercept.

`\begin{gathered} f(0)=(0)^2-0+5 \\ =5 \end{gathered}`

So y-intercept of function f(x) is more than y-intercept of g(x).

Substitute 1 for x in the equation to obtain the value of function at x = 1.

`\begin{gathered} f(1)=(1)^2-1+5 \\ =5 \end{gathered}`

The function f(x) and g(x) have different vlue at x = 1.

Substitute 3 for x in the function to obtain f(3).

`\begin{gathered} f(3)=(3)^2-3+5 \\ =9-3+5 \\ =11 \end{gathered}`

So g(x) > f(x)

The quadratic function is defined for all values of x and exponential function is also defined for all values of x. So domain of both function f(x) and g(x) is all real numbers.

So correct option is option C.