Question

Graph the polynomial

1- g(x) = (x+5)^4
2- f(x) = 7- (x) ^4.
3- h(x) = 1/4 ( x-3 )^4


Don't forget to find x-int. and y-int.

Answer 1

The x-intercept is the point where the graph crosses the x-axis; it can be found by setting y = 0 and solving for x.

The y-intercept is the point where the graph crosses the y-axis; it can be found by setting x = 0 and solving for y.

1) g(x) = (x + 5)⁴

• y-intercept: g(x) = (0 + 5)⁴ → (0, 625)
• x-intercept: 0 = (x + 5)⁴ → (-5, 0)

2) f(x) = 7 - x⁴

• y-intercept: f(x) = 7 - 0⁴ → (0, 7)
• x-intercept: 0 = 7 - x⁴ → (±
  `\sqrt[4]{7}`, 0)

3) h(x) = ¼(x - 3)⁴

• y-intercept: h(x) = ¼(0 - 3)⁴ → (0,
  `(81)/(4)`)
• x-intercept: 0 = ¼(x - 3)⁴ → (3, 0)

The graphs are labeled below.