Answer to Question #130434 in Algebra for Everlyn

Question

Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below. f(-2)=? f(2)?

A coordinate system has a horizontal x-axis labeled from negative 5 to 5 in increments of 1 and a vertical y-axis labeled from negative 5 to 5 in increments of 1. A parabola that opens upward has vertex (negative 2, negative 1) and passes through the points (negative 4, 0), (0, 0), and left parenthesis 2 comma 3 right parenthesis.

a. The domain is
b. The range is
c. Select the correct choice below and fill in any answer boxes within your choice.
A.The x-intercept(s) is (are)
d. Select the correct choice below and fill in any answer boxes within your choice.
A.The y-intercept is
f(-2)=
f(2)=

Answer 1

solution:-

according to given data graph can be plot like this

according to to graph

(a) domain $(-\infin\space,\infin)$

(b) range $[-1,\infin)$

(c) x - intercepts are the points where y is zero so . x-intercept are $-4$ and 0 . and its point can be indicted like this (-4,0) and (0,0) .

(d) y- intercepts are the points where x is zero . so y- intercept is 0 .

and its point can be written like this (0,0)

(e)function value

to obtain function value it can be written as

$y=f(x)$

and according to graph at x=-2 value of y is -1. so

function value at x=-2 will be

$f(-2)=-1$

and at x=2 value of y is 3 . so function value at x=2 will be

$f(2)=3$