Graph the absolute value function and analyze the domain, range, intercepts, axis of symmetry, and vertex. f(x) = |x − 3|

A.

domain: all real numbers; range: y ≥ 0; x-intercept: (−3, 0); y-intercept: (0, 3); axis of symmetry: x = −3; vertex: (−3, 0)

B.

domain: all real numbers; range: y ≥ 0; x-intercept: (3, 0); y-intercept: (0, 3); axis of symmetry: x = 3; vertex: (3, 0)

C.

domain: all real numbers; range: y ≥ 3; no x-intercepts; y-intercept: (0, 3); axis of symmetry: x = 0; vertex: (0, 3)

D.

domain: all real numbers; range: y ≥ −3; x-intercepts: (−3, 0) and (3, 0); y-intercept: (0, −3); axis of symmetry: x = 0; vertex: (0, −3)

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

you are uyytr tyy

step-by-step explanation:

step-by-step explanation: