Functions and Relations Question
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Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a
The values in the table come from an exponential function of the form [math]f(x) = a * e^(bx)[/math], where [math]a, b in RR[/math]. The function values in the table have been rounded to two decimal places. Find the numeric values of the coefficients [math]a[/math] and [math]b[/math].
| [math] \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ [/math] | [math] \ \ \ \ \ \ 0 \ \ \ \ \ \ [/math] | [math] \ \ \ \ \ \ 1 \ \ \ \ \ \ [/math] | [math] \ \ \ \ \ \ 2 \ \ \ \ \ \ [/math] | [math] \ \ \ \ \ \ 3 \ \ \ \ \ \ [/math] | [math] \ \ \ \ \ \ 4 \ \ \ \ \ \ [/math] |
| [math] \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ [/math] | [math] -3 [/math] | [math] -1.82 [/math] | [math]-1.10[/math] | [math] -0.67 [/math] | [math]-0.41 [/math] |