Question

Guided Practice

Identify the quadratic, linear, and constant terms of this function.


f(x) = x2 − 7


A.
linear term: −7

quadratic term: none

constant term: x


B.
linear term: x2

quadratic term: x

constant term: −7


C.
linear term: x

quadratic term: x2

constant term: 7


D.
linear term: none

quadratic term: x2

constant term: −7

Answer 1

Answer: The quadratic term is x2 and the constant term is −7. There is no linear term.

D.

linear term: none

quadratic term: x2

constant term: −7

Explanation:

To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .

x-intercept(s): ( √ 7 , 0 ) , ( − √ 7 , 0 )

y-intercept(s): ( 0 , − 7 )

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Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: ( − ∞ , ∞ ) , x

Range: [ − 7 , ∞ ) , y ≥ − 7