Question

Use a calculator to evaluate the function at the indicated values. Round your answers to three decimals. h(x) = ex; h(1), h(0), h(-4), h(3)

h(1) = 2.718 (approximately)
h(0) = 1.000
h(-4) = 0.018 (approximately)
h(3) = 20.086 (approximately)

Answer 1

To evaluate the function h(x) = ex at the given values, substitute each value into the function equation: h(1) = e1 = 2.718, h(0) = e0 = 1.000, h(-4) = e-4 = 0.018, h(3) = e3 = 20.086.

Step-by-step explanation:

To evaluate the function h(x) = ex at the given values, we need to substitute each value into the function equation.

h(1) = e1 = 2.718 (approximately)

h(0) = e0 = 1.000

h(-4) = e-4 = 0.018 (approximately)

h(3) = e3 = 20.086 (approximately)

Answer 2

The function
`\(h(x) = e^x\)` evaluated at x = 1 is approximately 2.718, at x = 0 is 1, at x = -4 is approximately 0.018, and at x = 3 is approximately 20.086.

To evaluate the function
`\(h(x) = e^x\)` at the given values:

1. h(1):

h(1) = e¹

h(1) = e

h(1) ≈ 2.718 (rounded to three decimals)

2. h(0):

h(0) = e⁰

h(0) = 1

3. h(-4):

h(-4) = e⁻⁴

h(-4) ≈ 0.018 (rounded to three decimals)

4. h(3):

h(3) = e³

h(3) ≈ 20.086 (rounded to three decimals)