s. (12 points) Determine whether y is a function of x. Justify your answer No Fu

Question

s. (12 points) Determine whether y is a function of x. Justify your answer No Function? (circle one) How do you know? Becas01 11 th the passes hoe of then el ink.cect b, 4=lx + 21-y Function? (circle on How do you know? YES N pecl ute Function? (circle one) How do you know? 9· (24 points) Match each phrase with one term on the right. There may be more than one phrase that matches each term The set of values that will produce a real output when substituted into a function. The real solutions off) = 0. 22-2 For each value in the domain of this relation, there is exactly one corresponding value in the range Function e. The difference quotient is based on this formula. f The set of outputs. Domain We can use the vertical line test to determine if a relation Range is one. We include only values of x that produce a nonnegative number inside a square root. h. x-intercepts We use y-values to describe the intervals. Cle Slope Another way to describe the "average rate of change." To determine these, we set the function equal to zero. We exclude the values of x that produce a zero denominator

Explanation / Answer

a)

No it is not a function.

Functions can not have 2 y-values mapped to a single x-value in the domain. For example at x = 2, the y = -1 and +1

(b)

4 = |x+2| - y

y = |x+2| - 4

yes it is a function

(c)

x^2 + y^2 = 4

it is circle, not a function

because at x = 0, there are 2 values of y = +2, and -2.

so answer is NO

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